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/01 Introduction to the course/
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001 Introduction.en.srt
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16.4 KB
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001 Introduction.mp4
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160.8 MB
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001 Outline_Linear_Algebra_and_Geometry_1.pdf
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1.1 MB
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001 Slides Introduction to the course.pdf
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36.5 MB
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[Tutorialsplanet.NET].url
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0.1 KB
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/02 Some basic concepts/
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001 Coordinate systems and coordinates in the plane and in the 3-space.en.srt
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23.9 KB
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001 Coordinate systems and coordinates in the plane and in the 3-space.mp4
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128.5 MB
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002 Slides Coordinate systems and coordinates.pdf
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1.0 MB
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002 Slope-intercept equations of straight lines in the plane.en.srt
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11.7 KB
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002 Slope-intercept equations of straight lines in the plane.mp4
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73.8 MB
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003 Normal equations of planes in the 3-space.en.srt
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11.3 KB
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003 Normal equations of planes in the 3-space.mp4
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67.0 MB
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003 Slides Slope intercept equations of lines in the plane.pdf
|
1.6 MB
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004 Slides Normal equations of planes in the 3-space.pdf
|
657.3 KB
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004 Vectors.en.srt
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15.3 KB
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004 Vectors.mp4
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58.9 MB
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005 Scalars.en.srt
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2.4 KB
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005 Scalars.mp4
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50.6 MB
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005 Slides Vectors.pdf
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975.3 KB
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006 Vector addition and vector scaling.en.srt
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11.9 KB
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006 Vector addition and vector scaling.mp4
|
66.6 MB
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007 Linear combinations.en.srt
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25.3 KB
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007 Linear combinations.mp4
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173.6 MB
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007 Slides Vector addition and vector scaling.pdf
|
453.9 KB
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008 Matrices.en.srt
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7.4 KB
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008 Matrices.mp4
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43.7 MB
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008 Notes Linear combinations.pdf
|
620.9 KB
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008 Slides Linear combinations.pdf
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1.2 MB
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009 Linear transformations.en.srt
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27.4 KB
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009 Linear transformations.mp4
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129.6 MB
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009 Slides Matrices.pdf
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5.0 MB
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010 Matrix—vector multiplication.en.srt
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8.7 KB
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010 Matrix—vector multiplication.mp4
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63.1 MB
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010 Slides Linear transformations.pdf
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2.3 MB
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011 Rules for computations with real numbers.en.srt
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11.7 KB
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011 Rules for computations with real numbers.mp4
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62.4 MB
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011 Slides Matrix vector multiplication.pdf
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1.2 MB
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012 Pythagorean Theorem and distance between points.en.srt
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17.3 KB
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012 Pythagorean Theorem and distance between points.mp4
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69.8 MB
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012 Slides Rules for computations with real numbers.pdf
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154.0 KB
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013 Sine, cosine, and pythagorean identity.en.srt
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6.6 KB
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013 Sine, cosine, and pythagorean identity.mp4
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33.3 MB
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013 Slides Pythagorean Theorem and distance between points.pdf
|
706.1 KB
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014 Cosine Rule.en.srt
|
12.6 KB
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014 Cosine Rule.mp4
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57.7 MB
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014 Slides Sine cosine and pythagorean identity.pdf
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648.0 KB
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015 Slides Cosine Rule.pdf
|
701.2 KB
|
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/03 Systems of linear equations; building up your geometrical intuition/
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001 Different ways of looking at equations.en.srt
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5.5 KB
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001 Different ways of looking at equations.mp4
|
35.3 MB
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002 Solution set.en.srt
|
14.9 KB
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002 Solution set.mp4
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61.4 MB
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003 Linear and non-linear equations.en.srt
|
14.6 KB
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003 Linear and non-linear equations.mp4
|
66.3 MB
|
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004 Systems of linear equations.en.srt
|
4.9 KB
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004 Systems of linear equations.mp4
|
28.3 MB
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005 Solution sets of systems of linear equations.en.srt
|
11.9 KB
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005 Solution sets of systems of linear equations.mp4
|
56.8 MB
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006 An example of a 2 × 2 system of linear equations, a graphical solution.en.srt
|
3.6 KB
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006 An example of a 2 × 2 system of linear equations, a graphical solution.mp4
|
32.7 MB
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007 Possible solution sets of 2 × 2 systems of linear equations.en.srt
|
5.2 KB
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007 Possible solution sets of 2 × 2 systems of linear equations.mp4
|
44.7 MB
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008 Possible solution sets of 3 × 2 systems of linear equations.en.srt
|
8.9 KB
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008 Possible solution sets of 3 × 2 systems of linear equations.mp4
|
39.5 MB
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009 Possible solution sets of 3 × 3 systems of linear equations.en.srt
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11.6 KB
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009 Possible solution sets of 3 × 3 systems of linear equations.mp4
|
55.2 MB
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010 Possible solution sets of 2 × 3 systems of linear equations.en.srt
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4.2 KB
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010 Possible solution sets of 2 × 3 systems of linear equations.mp4
|
23.5 MB
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011 Possible solution sets of m × n systems of linear equations.en.srt
|
6.4 KB
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011 Possible solution sets of m × n systems of linear equations.mp4
|
42.9 MB
|
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016 Slides Different ways of looking at equations.pdf
|
125.7 KB
|
|
017 Slides Solution set.pdf
|
2.6 MB
|
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018 Slides Linear and nonlinear equations.pdf
|
336.2 KB
|
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019 Slides Systems of linear equations.pdf
|
2.2 MB
|
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020 Slides Solution sets of systems of linear equations.pdf
|
1.4 MB
|
|
021 Slides An example of a 2 by 2 system of linear equations A graphical solution.pdf
|
497.8 KB
|
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022 Slides Possible solution sets of 2 by 2 systems of linear equations.pdf
|
1.0 MB
|
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023 Slides Possible solution sets of 3 by 2 systems of linear equations Overdetermined systems.pdf
|
0.0 KB
|
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024 Slides Possible solution sets of 3 by 3 systems of linear equations.pdf
|
2.4 MB
|
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025 Slides Possible solution sets of 2 by 3 systems of linear equations Underdetermined systems.pdf
|
0.0 KB
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026 Slides Possible solution sets of m by n systems of linear equations.pdf
|
1.1 MB
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/04 Solving systems of linear equations; Gaussian elimination/
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001 Our earlier problem revisited; an algebraical solution.en.srt
|
10.5 KB
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001 Our earlier problem revisited; an algebraical solution.mp4
|
191.2 MB
|
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002 Three elementary operations.en.srt
|
10.7 KB
|
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002 Three elementary operations.mp4
|
74.2 MB
|
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003 What is Gauss—Jordan elimination and Gaussian elimination_.en.srt
|
8.8 KB
|
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003 What is Gauss—Jordan elimination and Gaussian elimination_.mp4
|
50.2 MB
|
|
004 Gauss—Jordan elimination, a 2-by-2 system with unique solution.en.srt
|
9.8 KB
|
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004 Gauss—Jordan elimination, a 2-by-2 system with unique solution.mp4
|
40.6 MB
|
|
005 The same example solved with Gaussian elimination and back-substitution.en.srt
|
4.0 KB
|
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005 The same example solved with Gaussian elimination and back-substitution.mp4
|
31.6 MB
|
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006 The same example solved with matrix operations; coefficient matrix and augmented.en.srt
|
13.5 KB
|
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006 The same example solved with matrix operations; coefficient matrix and augmented.mp4
|
70.1 MB
|
|
007 How to write the augmented matrix for a given system of equations, Problem 1.en.srt
|
13.2 KB
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007 How to write the augmented matrix for a given system of equations, Problem 1.mp4
|
270.6 MB
|
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008 How to write system of equations to a given augmented matrix, Problem 2.en.srt
|
7.3 KB
|
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008 How to write system of equations to a given augmented matrix, Problem 2.mp4
|
155.3 MB
|
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009 Gaussian elimination, Problem 3.en.srt
|
29.7 KB
|
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009 Gaussian elimination, Problem 3.mp4
|
585.4 MB
|
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010 Gaussian elimination, Problem 4.en.srt
|
18.5 KB
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010 Gaussian elimination, Problem 4.mp4
|
394.7 MB
|
|
011 Gaussian elimination, Problem 5.en.srt
|
16.4 KB
|
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011 Gaussian elimination, Problem 5.mp4
|
327.6 MB
|
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012 Gaussian elimination, Problem 6.en.srt
|
16.8 KB
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012 Gaussian elimination, Problem 6.mp4
|
330.6 MB
|
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013 What happens if the system is inconsistent_.en.srt
|
4.8 KB
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013 What happens if the system is inconsistent_.mp4
|
38.0 MB
|
|
014 Gaussian elimination, Problem 7.en.srt
|
6.2 KB
|
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014 Gaussian elimination, Problem 7.mp4
|
129.0 MB
|
|
015 Preparation to the general formulation of the algorithm; REF and RREF matrices.en.srt
|
17.9 KB
|
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015 Preparation to the general formulation of the algorithm; REF and RREF matrices.mp4
|
186.8 MB
|
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016 How to read solutions from REF and RREF matrices_.en.srt
|
29.5 KB
|
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016 How to read solutions from REF and RREF matrices_.mp4
|
422.1 MB
|
|
017 General formulation of the algorithm in Gauss–Jordan elimination.en.srt
|
29.0 KB
|
|
017 General formulation of the algorithm in Gauss–Jordan elimination.mp4
|
480.4 MB
|
|
018 Gauss–Jordan elimination, Problem 8.en.srt
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19.2 KB
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018 Gauss–Jordan elimination, Problem 8.mp4
|
327.9 MB
|
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019 Gauss–Jordan elimination, Problem 9.en.srt
|
9.5 KB
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019 Gauss–Jordan elimination, Problem 9.mp4
|
201.3 MB
|
|
020 Gaussian elimination, Problem 10.en.srt
|
6.5 KB
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020 Gaussian elimination, Problem 10.mp4
|
117.7 MB
|
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021 Gauss–Jordan elimination, Problem 11.en.srt
|
19.9 KB
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021 Gauss–Jordan elimination, Problem 11.mp4
|
426.2 MB
|
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022 Gauss–Jordan elimination, Problem 12.en.srt
|
26.6 KB
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022 Gauss–Jordan elimination, Problem 12.mp4
|
545.8 MB
|
|
023 Gauss–Jordan elimination, Problem 13.en.srt
|
27.7 KB
|
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023 Gauss–Jordan elimination, Problem 13.mp4
|
594.3 MB
|
|
027 Notes An example of a 2 by 2 system of linear equations An algebraical solution.pdf
|
765.1 KB
|
|
027 Slides An example of a 2 by 2 system of linear equations An algebraical solution.pdf
|
277.3 KB
|
|
028 Slides Three elementary operations.pdf
|
932.5 KB
|
|
029 Slides What is Gauss Jordan and Gaussian elimination.pdf
|
1.3 MB
|
|
030 Slides Gauss Jordan elimination Example 2 by 2 unique solution.pdf
|
477.7 KB
|
|
031 Slides The same example solved with Gaussian elimination and back-substitution.pdf
|
1.1 MB
|
|
032 Slides The same example solved with matrix operations Coefficient matrix and augmented matrix.pdf
|
2.1 MB
|
|
033 Notes How to write the augmented matrix for a given system of equations Problem 1.pdf
|
794.9 KB
|
|
033 Slides How to write the augmented matrix for a given system of equations Problem 1.pdf
|
171.0 KB
|
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034 Notes How to write system of equations corresponding to a given augmented matrix Problem 2.pdf
|
549.8 KB
|
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034 Slides How to write system of equations corresponding to a given augmented matrix Problem 2.pdf
|
174.2 KB
|
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035 Notes Gaussian elimination Problem 3.pdf
|
2.2 MB
|
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035 Slides Gaussian elimination Problem 3.pdf
|
173.2 KB
|
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036 Notes Gaussian elimination Problem 4.pdf
|
2.0 MB
|
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036 Slides Gaussian elimination Problem 4.pdf
|
171.6 KB
|
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037 Notes Gaussian elimination Problem 5.pdf
|
1.4 MB
|
|
037 Slides Gaussian elimination Problem 5.pdf
|
172.3 KB
|
|
038 Notes Gaussian elimination Problem 6.pdf
|
1.3 MB
|
|
038 Slides Gaussian elimination Problem 6.pdf
|
145.1 KB
|
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039 Slides What happens if the system is inconsistent.pdf
|
357.0 KB
|
|
040 Notes Gaussian elimination Problem 7.pdf
|
573.2 KB
|
|
040 Slides Gaussian elimination Problem 7.pdf
|
145.2 KB
|
|
041 Notes Preparation to the general formulation of the algorithm REF and RREF matrices.pdf
|
583.5 KB
|
|
041 Slides Preparation to the general formulation of the algorithm REF and RREF matrices.pdf
|
1.9 MB
|
|
042 Notes How to read solutions from REF and RREF matrices.pdf
|
1.8 MB
|
|
042 Slides How to read solutions from REF and RREF matrices.pdf
|
1.1 MB
|
|
043 Notes General formulation of the algorithm in Gauss Jordan elimination.pdf
|
2.0 MB
|
|
043 Slides General formulation of the algorithm in Gauss Jordan elimination.pdf
|
928.6 KB
|
|
044 Notes Gauss Jordan elimination Problem 8.pdf
|
1.5 MB
|
|
044 Slides Gauss Jordan elimination Problem 8.pdf
|
216.0 KB
|
|
045 Notes Gauss Jordan elimination Problem 9.pdf
|
1.1 MB
|
|
045 Slides Gauss Jordan elimination Problem 9.pdf
|
267.0 KB
|
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046 Notes Gauss Jordan elimination Problem 10.pdf
|
549.9 KB
|
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046 Slides Gauss Jordan elimination Problem 10.pdf
|
203.1 KB
|
|
047 Notes Gauss Jordan elimination Problem 11.pdf
|
2.2 MB
|
|
047 Slides Gauss Jordan elimination Problem 11.pdf
|
147.0 KB
|
|
048 Notes Gaussian elimination Problem 12.pdf
|
2.6 MB
|
|
048 Slides Gaussian elimination Problem 12.pdf
|
148.2 KB
|
|
049 Article-Solved-Problems-Systems-of-Equations.pdf
|
123.6 KB
|
|
049 Notes Gauss Jordan elimination Problem 13.pdf
|
2.3 MB
|
|
049 Slides Gauss Jordan elimination Problem 13.pdf
|
272.3 KB
|
|
/05 Some applications in mathematics and natural sciences/
|
|
001 Solving systems of linear equations in Linear Algebra and Geometry.en.srt
|
8.7 KB
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001 Solving systems of linear equations in Linear Algebra and Geometry.mp4
|
98.6 MB
|
|
002 Solving systems of linear equations (Calculus) Problem 1.en.srt
|
8.2 KB
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002 Solving systems of linear equations (Calculus) Problem 1.mp4
|
151.0 MB
|
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003 Solving systems of linear equations (Calculus) Problem 2.en.srt
|
10.4 KB
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003 Solving systems of linear equations (Calculus) Problem 2.mp4
|
216.2 MB
|
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004 Solving systems of linear equations (Calculus) Problem 3.en.srt
|
25.6 KB
|
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004 Solving systems of linear equations (Calculus) Problem 3.mp4
|
538.6 MB
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005 Solving systems of linear equations (Calculus) Problem 4.en.srt
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28.7 KB
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005 Solving systems of linear equations (Calculus) Problem 4.mp4
|
600.0 MB
|
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006 Problem 5 (Chemistry).en.srt
|
17.1 KB
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006 Problem 5 (Chemistry).mp4
|
290.7 MB
|
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007 Problem 6 (Electrical circuits).en.srt
|
19.5 KB
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007 Problem 6 (Electrical circuits).mp4
|
283.7 MB
|
|
050 Slides Solving systems of linear equations in Linear Algebra and Geometry.pdf
|
208.7 KB
|
|
051 Notes Problem 1 Calculus.pdf
|
684.5 KB
|
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051 Slides Problem 1 Calculus.pdf
|
275.5 KB
|
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052 Notes Problem 2 Calculus.pdf
|
1.2 MB
|
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052 Slides Problem 2 Calculus.pdf
|
337.8 KB
|
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053 Notes Problem 3 Calculus.pdf
|
2.2 MB
|
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053 Slides Problem 3 Calculus.pdf
|
147.7 KB
|
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054 Notes Problem 4 Calculus.pdf
|
2.7 MB
|
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054 Slides Problem 4 Calculus.pdf
|
148.3 KB
|
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055 Notes Problem 5 Chemistry.pdf
|
1.4 MB
|
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055 Slides Problem 5 Chemistry.pdf
|
228.7 KB
|
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056 Notes Problem 6 Electrical circuits.pdf
|
1.4 MB
|
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056 Slides Problem 6 Electrical circuits.pdf
|
165.1 KB
|
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/06 Matrices and matrix operations/
|
|
001 Introduction to matrices.en.srt
|
11.5 KB
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001 Introduction to matrices.mp4
|
57.8 MB
|
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002 Different types of matrices.en.srt
|
11.3 KB
|
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002 Different types of matrices.mp4
|
54.0 MB
|
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003 Matrix addition and subtraction, Problem 1.en.srt
|
5.4 KB
|
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003 Matrix addition and subtraction, Problem 1.mp4
|
28.6 MB
|
|
004 Matrix scaling, with geometrical interpretation.en.srt
|
6.6 KB
|
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004 Matrix scaling, with geometrical interpretation.mp4
|
34.6 MB
|
|
005 Matrix scaling, Problem 2.en.srt
|
3.5 KB
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005 Matrix scaling, Problem 2.mp4
|
60.0 MB
|
|
006 Matrix multiplication, with geometrical interpretation.en.srt
|
19.9 KB
|
|
006 Matrix multiplication, with geometrical interpretation.mp4
|
116.0 MB
|
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007 Matrix multiplication, how to do.en.srt
|
6.3 KB
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007 Matrix multiplication, how to do.mp4
|
43.6 MB
|
|
008 Matrix multiplication, Problem 3.en.srt
|
7.7 KB
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008 Matrix multiplication, Problem 3.mp4
|
37.0 MB
|
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009 Matrix multiplication and systems of equations, Problem 4.en.srt
|
11.3 KB
|
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009 Matrix multiplication and systems of equations, Problem 4.mp4
|
52.4 MB
|
|
010 Transposed matrix, definition and some examples.en.srt
|
5.6 KB
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010 Transposed matrix, definition and some examples.mp4
|
79.5 MB
|
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011 Trace of a matrix, definition and an example.en.srt
|
3.7 KB
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011 Trace of a matrix, definition and an example.mp4
|
21.2 MB
|
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012 Various matrix operations, Problem 7.en.srt
|
13.7 KB
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012 Various matrix operations, Problem 7.mp4
|
250.4 MB
|
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013 Various matrix operations, Problem 8.en.srt
|
22.0 KB
|
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013 Various matrix operations, Problem 8.mp4
|
301.1 MB
|
|
057 Slides Introduction to matrices.pdf
|
1.8 MB
|
|
058 Slides Different types of matrices.pdf
|
315.6 KB
|
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059 Slides Matrix addition and subtraction Problem 1.pdf
|
939.8 KB
|
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060 Slides Matrix scaling with geometrical interpretation.pdf
|
1.2 MB
|
|
061 Notes Matrix scaling Problem 2.pdf
|
428.3 KB
|
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061 Slides Matrix scaling Problem 2.pdf
|
508.6 KB
|
|
062 Slides Matrix multiplication with geometrical interpretation.pdf
|
2.6 MB
|
|
063 Slides Matrix multiplication how to do.pdf
|
2.0 MB
|
|
064 Slides Matrix multiplication Problem 3.pdf
|
2.2 MB
|
|
065 Slides Matrix multiplication and systems of equations Problem 4.pdf
|
1.3 MB
|
|
066 Notes Transposed matrix Definition and some examples.pdf
|
409.0 KB
|
|
066 Slides Transposed matrix Definition and some examples.pdf
|
762.2 KB
|
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067 Slides Trace of a matrix Definition and an example.pdf
|
769.2 KB
|
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068 Notes Various matrix operations Problem 7.pdf
|
922.2 KB
|
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068 Slides Various matrix operations Problem 7.pdf
|
194.8 KB
|
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069 Notes Various matrix operations Problem 8.pdf
|
1.4 MB
|
|
069 Slides Various matrix operations Problem 8.pdf
|
615.3 KB
|
|
/07 Inverses; Algebraic properties of matrices/
|
|
001 Properties of matrix operations, an introduction.en.srt
|
5.7 KB
|
|
001 Properties of matrix operations, an introduction.mp4
|
43.8 MB
|
|
002 Matrix addition has all the good properties.en.srt
|
8.2 KB
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002 Matrix addition has all the good properties.mp4
|
33.6 MB
|
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003 Matrix multiplication has a neutral element for square matrices.en.srt
|
8.6 KB
|
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003 Matrix multiplication has a neutral element for square matrices.mp4
|
125.6 MB
|
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004 Matrix multiplication is associative.en.srt
|
20.0 KB
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004 Matrix multiplication is associative.mp4
|
296.1 MB
|
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005 Matrix multiplication is not commutative.en.srt
|
8.4 KB
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005 Matrix multiplication is not commutative.mp4
|
46.1 MB
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006 Sometimes commutativity happens, Problem 1.en.srt
|
14.5 KB
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006 Sometimes commutativity happens, Problem 1.mp4
|
324.6 MB
|
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007 Two distributive laws.en.srt
|
9.7 KB
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007 Two distributive laws.mp4
|
171.6 MB
|
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008 Matrix multiplication does not have the zero-product property.en.srt
|
3.7 KB
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008 Matrix multiplication does not have the zero-product property.mp4
|
18.4 MB
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009 There is no cancellation law for matrix multiplication.en.srt
|
6.4 KB
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009 There is no cancellation law for matrix multiplication.mp4
|
28.2 MB
|
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010 Inverse matrices; not all non-zero square matrices have an inverse.en.srt
|
11.6 KB
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010 Inverse matrices; not all non-zero square matrices have an inverse.mp4
|
71.9 MB
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011 Inverse matrix for 2-by-2 matrices; non-zero determinant.en.srt
|
11.2 KB
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011 Inverse matrix for 2-by-2 matrices; non-zero determinant.mp4
|
135.6 MB
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012 Solving matrix equations, Problem 2.en.srt
|
19.3 KB
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012 Solving matrix equations, Problem 2.mp4
|
360.0 MB
|
|
013 Powers of matrices; powers of diagonal matrices.en.srt
|
4.1 KB
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013 Powers of matrices; powers of diagonal matrices.mp4
|
20.2 MB
|
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014 Computation rules for transposed matrices.en.srt
|
11.3 KB
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014 Computation rules for transposed matrices.mp4
|
146.2 MB
|
|
015 Supplement to Video 83; Inverse of a product.en.srt
|
11.9 KB
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015 Supplement to Video 83; Inverse of a product.mp4
|
124.4 MB
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016 Inverse of a transposed matrix.en.srt
|
5.1 KB
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016 Inverse of a transposed matrix.mp4
|
28.1 MB
|
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017 Various rules, Problem 3.en.srt
|
15.7 KB
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017 Various rules, Problem 3.mp4
|
234.2 MB
|
|
070 Slides Properties of matrix operations An introduction.pdf
|
291.8 KB
|
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071 Slides Matrix addition has all the good properties.pdf
|
728.5 KB
|
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072 Notes Matrix multiplication has a neutral element for square matrices.pdf
|
601.3 KB
|
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072 Slides Matrix multiplication has a neutral element for square matrices.pdf
|
161.9 KB
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073 Notes Matrix multiplication is associative.pdf
|
1.1 MB
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073 Slides Matrix multiplication is associative.pdf
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1.8 MB
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074 Slides Matrix multiplication is not commutative.pdf
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1.7 MB
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075 Notes Sometimes commutativity happens Problem 1.pdf
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1.5 MB
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075 Slides Sometimes commutativity happens Problem 1.pdf
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269.9 KB
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076 Notes Two distributive laws.pdf
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647.2 KB
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076 Slides Two distributive laws.pdf
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287.2 KB
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077 Slides Matrix multiplication does not have the zero-product property.pdf
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172.8 KB
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078 Slides There is no cancellation law for matrix multiplication.pdf
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4.1 MB
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079 Slides Inverse matrices Not all non-zero square matrices have an inverse.pdf
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323.5 KB
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080 Notes Inverse matrix for 2-by-2 matrices Non-zero determinant.pdf
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476.9 KB
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080 Slides Inverse matrix for 2-by-2 matrices Non-zero determinant.pdf
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2.0 MB
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081 Notes Solving matrix equations Problem 2.pdf
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1.4 MB
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081 Slides Solving matrix equations Problem 2.pdf
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2.0 MB
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082 Slides Powers of matrices Powers of diagonal matrices.pdf
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684.4 KB
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083 Notes Computation rules for transposed matrices.pdf
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702.5 KB
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083 Slides Computation rules for transposed matrices.pdf
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300.1 KB
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084 Notes Supplement to Video 83.pdf
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500.1 KB
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084 Slides Supplement to Video 83 Inverse of a product.pdf
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586.2 KB
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085 Slides Inverse of a transposed matrix.pdf
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358.5 KB
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086 Article-Solved-Problems-Matrix-Arithmetics.pdf
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107.0 KB
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086 Notes Various rules Problem 3.pdf
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994.1 KB
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086 Slides Various rules Problem 3.pdf
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635.1 KB
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[Tutorialsplanet.NET].url
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0.1 KB
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/08 Elementary matrices and a method for finding A inverse/
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001 Inverse matrices, introduction to the algorithm.en.srt
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17.9 KB
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001 Inverse matrices, introduction to the algorithm.mp4
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426.0 MB
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002 Algorithm for inverse matrices, an example.en.srt
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10.6 KB
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002 Algorithm for inverse matrices, an example.mp4
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60.3 MB
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003 Matrix inverse, Problem 1.en.srt
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16.7 KB
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003 Matrix inverse, Problem 1.mp4
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303.5 MB
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004 Matrix inverse, Problem 2.en.srt
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11.5 KB
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004 Matrix inverse, Problem 2.mp4
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214.7 MB
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005 Matrix equations, Problem 3.en.srt
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13.8 KB
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005 Matrix equations, Problem 3.mp4
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262.5 MB
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006 Matrix equations, Problem 4.en.srt
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8.7 KB
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006 Matrix equations, Problem 4.mp4
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163.5 MB
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007 Matrix equations, Problem 5.en.srt
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17.5 KB
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007 Matrix equations, Problem 5.mp4
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358.4 MB
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008 Matrix equations, Problem 6.en.srt
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21.9 KB
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008 Matrix equations, Problem 6.mp4
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458.8 MB
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009 Matrix inverse, Problem 7.en.srt
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18.8 KB
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009 Matrix inverse, Problem 7.mp4
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405.9 MB
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010 Elementary operations and elementary matrices.en.srt
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12.9 KB
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010 Elementary operations and elementary matrices.mp4
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75.0 MB
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011 Inverse elementary operations and their matrices.en.srt
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7.0 KB
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011 Inverse elementary operations and their matrices.mp4
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36.8 MB
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012 A really important theorem.en.srt
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6.1 KB
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012 A really important theorem.mp4
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70.3 MB
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013 Four equivalent statements.en.srt
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17.0 KB
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013 Four equivalent statements.mp4
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155.4 MB
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087 Notes Inverse matrices Introduction to the algorithm.pdf
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1.5 MB
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087 Slides Inverse matrices Introduction to the algorithm.pdf
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109.1 KB
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088 Slides Algorithm for inverse matrices An example.pdf
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3.4 MB
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089 Notes Matrix inverse Problem 1.pdf
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1.5 MB
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089 Slides Matrix inverse Problem 1.pdf
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197.6 KB
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090 Notes Matrix inverse Problem 2.pdf
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674.8 KB
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090 Slides Matrix inverse Problem 2.pdf
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189.0 KB
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091 Notes Matrix equations Problem 3.pdf
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1.2 MB
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091 Slides Matrix equations Problem 3.pdf
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1.9 MB
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092 Notes Matrix equations Problem 4.pdf
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762.6 KB
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092 Slides Matrix equations Problem 4.pdf
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1.9 MB
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093 Notes Matrix equations Problem 5.pdf
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1.3 MB
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093 Slides Matrix equations Problem 5.pdf
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175.9 KB
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094 Notes Matrix equations Problem 6.pdf
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1.9 MB
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094 Slides Matrix equations Problem 6.pdf
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175.9 KB
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095 Notes Matrix inverse Problem 7.pdf
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1.8 MB
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095 Slides Matrix inverse Problem 7.pdf
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299.8 KB
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096 Slides Elementary operations and elementary matrices.pdf
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1.5 MB
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097 Slides Inverse elementary operations and their matrices.pdf
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3.4 MB
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098 Slides A really important theorem.pdf
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664.1 KB
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099 Article-Solved-Problems-Matrix-Inverse.pdf
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170.6 KB
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099 Notes Four equivalent statements.pdf
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655.8 KB
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099 Slides Four equivalent statements.pdf
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2.1 MB
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/09 Linear systems and matrices/
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001 Formally about the number of solutions to systems of linear equations.en.srt
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24.0 KB
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001 Formally about the number of solutions to systems of linear equations.mp4
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365.5 MB
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002 Two more statements in our important theorem.en.srt
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10.2 KB
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002 Two more statements in our important theorem.mp4
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143.3 MB
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003 Solution of a linear system using A inverse, Problem 1.en.srt
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17.7 KB
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003 Solution of a linear system using A inverse, Problem 1.mp4
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351.1 MB
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004 Determining consistency by elimination, Problem 2.en.srt
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23.9 KB
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004 Determining consistency by elimination, Problem 2.mp4
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487.8 MB
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005 Matrix equations, Problem 3.en.srt
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14.7 KB
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005 Matrix equations, Problem 3.mp4
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291.7 MB
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100 Notes Formally about the number of solutions to systems of linear equations.pdf
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1.9 MB
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100 Slides Formally about the number of solutions to systems of linear equations.pdf
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737.7 KB
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101 Notes Two more statements in our important theorem.pdf
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733.0 KB
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101 Slides Two more statements in our important theorem.pdf
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725.5 KB
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102 Notes Solution of a linear system using A inverse Problem 1.pdf
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1.4 MB
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102 Slides Solution of a linear system using A inverse Problem 1.pdf
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845.4 KB
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103 Notes Determining consistency by elimination Problem 2.pdf
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2.4 MB
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103 Slides Determining consistency by elimination Problem 2.pdf
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738.6 KB
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104 Notes Matrix equations Problem 3.pdf
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972.2 KB
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104 Slides Matrix equations Problem 3.pdf
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301.0 KB
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/10 Determinants/
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001 Why the determinants are important.en.srt
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5.0 KB
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001 Why the determinants are important.mp4
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71.8 MB
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002 2-by-2 determinants; notation for n-by-n determinants.en.srt
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11.6 KB
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002 2-by-2 determinants; notation for n-by-n determinants.mp4
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50.2 MB
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003 Geometrical interpretations of determinants.en.srt
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21.7 KB
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003 Geometrical interpretations of determinants.mp4
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109.9 MB
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004 Geometrically about the determinant of a product.en.srt
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8.1 KB
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004 Geometrically about the determinant of a product.mp4
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72.0 MB
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005 Definition of determinants.en.srt
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16.5 KB
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005 Definition of determinants.mp4
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106.9 MB
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006 Conclusion 1_ Determinant of matrices with interchanged columns.en.srt
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11.9 KB
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006 Conclusion 1_ Determinant of matrices with interchanged columns.mp4
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57.4 MB
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007 Conclusion 2_ What happens when one column is a linear combination of others.en.srt
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20.8 KB
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007 Conclusion 2_ What happens when one column is a linear combination of others.mp4
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260.6 MB
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008 Conclusion 3_ About adding a multiple of a column to another column.en.srt
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5.6 KB
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008 Conclusion 3_ About adding a multiple of a column to another column.mp4
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75.7 MB
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009 Conclusion 4_ Determinant of kA for any k ∈ R.en.srt
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8.8 KB
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009 Conclusion 4_ Determinant of kA for any k ∈ R.mp4
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45.1 MB
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010 Elementary column operations.en.srt
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14.7 KB
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010 Elementary column operations.mp4
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218.2 MB
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011 How to compute 2-by-2 determinants from the definition.en.srt
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7.8 KB
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011 How to compute 2-by-2 determinants from the definition.mp4
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59.3 MB
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012 How to compute 3-by-3 determinants from the definition.en.srt
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15.9 KB
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012 How to compute 3-by-3 determinants from the definition.mp4
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86.4 MB
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013 Sarrus’ rule for 3-by-3 determinants.en.srt
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23.6 KB
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013 Sarrus’ rule for 3-by-3 determinants.mp4
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355.3 MB
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014 Determinant of transposed matrix; row operations.en.srt
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18.9 KB
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014 Determinant of transposed matrix; row operations.mp4
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80.0 MB
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015 Evaluating determinants by cofactor expansion along rows or columns.en.srt
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49.1 KB
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015 Evaluating determinants by cofactor expansion along rows or columns.mp4
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650.4 MB
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016 Evaluating determinants by row or column reduction.en.srt
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13.6 KB
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016 Evaluating determinants by row or column reduction.mp4
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164.1 MB
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017 Determinant of inverse.en.srt
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7.0 KB
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017 Determinant of inverse.mp4
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33.2 MB
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018 Properties of determinants, Problem 1.en.srt
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6.0 KB
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018 Properties of determinants, Problem 1.mp4
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105.9 MB
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019 Properties of determinants, Problem 2.en.srt
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7.4 KB
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019 Properties of determinants, Problem 2.mp4
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130.2 MB
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020 Properties of determinants, Problem 3.en.srt
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10.4 KB
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020 Properties of determinants, Problem 3.mp4
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199.7 MB
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021 Determinant equations, Problem 4.en.srt
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9.6 KB
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021 Determinant equations, Problem 4.mp4
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184.1 MB
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022 Determinant equations, Problem 5.en.srt
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16.2 KB
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022 Determinant equations, Problem 5.mp4
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316.7 MB
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023 Determinant equations, Problem 6.en.srt
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7.8 KB
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023 Determinant equations, Problem 6.mp4
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38.8 MB
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024 Determinant equations, Problem 7.en.srt
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9.6 KB
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024 Determinant equations, Problem 7.mp4
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31.3 MB
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025 Invertible matrices, determinant test with a proof, Problem 8.en.srt
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26.8 KB
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025 Invertible matrices, determinant test with a proof, Problem 8.mp4
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348.0 MB
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026 Cramer’s rule, a proof, an example, and a geometrical interpretation.en.srt
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20.5 KB
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026 Cramer’s rule, a proof, an example, and a geometrical interpretation.mp4
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216.8 MB
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027 Cramer’s rule, Problem 9.en.srt
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15.4 KB
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027 Cramer’s rule, Problem 9.mp4
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243.1 MB
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028 Inverse matrix, an explicit formula.en.srt
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29.0 KB
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028 Inverse matrix, an explicit formula.mp4
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209.6 MB
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029 Invertible matrices, Problem 10.en.srt
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15.7 KB
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029 Invertible matrices, Problem 10.mp4
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188.8 MB
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030 Problem 11, a large determinant.en.srt
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8.4 KB
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030 Problem 11, a large determinant.mp4
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45.2 MB
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031 Problem 12, another large determinant.en.srt
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16.8 KB
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031 Problem 12, another large determinant.mp4
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281.0 MB
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032 Problem 13_ a trigonometric determinant.en.srt
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10.0 KB
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032 Problem 13_ a trigonometric determinant.mp4
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212.9 MB
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033 Problem 14_ Vandermonde determinant.en.srt
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28.1 KB
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033 Problem 14_ Vandermonde determinant.mp4
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478.6 MB
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105 Slides Why the determinants are important.pdf
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754.3 KB
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106 Slides 2-by-2 determinants Notation for n by n determinants.pdf
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576.4 KB
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107 Slides Geometrical interpretations of determinants.pdf
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3.6 MB
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108 Slides Geometrically about the determinant of a product.pdf
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2.2 MB
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109 Slides Definition of determinants.pdf
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5.4 MB
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110 Slides Conclusion 1 Determinant of matrices with interchanged columns.pdf
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3.0 MB
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111 Notes Conclusion 2 What happens when one column is a linear combination of the other columns.pdf
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1.4 MB
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111 Slides Conclusion 2 What happens when one column is a linear combination of the other columns.pdf
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4.0 MB
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112 Notes Conclusion 3 About adding a multiple of a column to another column.pdf
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559.5 KB
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112 Slides Conclusion 3 About adding a multiple of a column to another column.pdf
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751.3 KB
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113 Slides Conclusion 4 Determinant of kA for any real k.pdf
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1.9 MB
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114 Notes Elementary column operations.pdf
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909.5 KB
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114 Slides Elementary column operations.pdf
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813.0 KB
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115 Slides How to compute 2 by 2 determinants from the definition.pdf
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1.1 MB
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116 Slides How to compute 3 by 3 determinants from the definition.pdf
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2.3 MB
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117 Notes Sarrus method for 3 by 3 determinants.pdf
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868.4 KB
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117 Slides Sarrus method for 3 by 3 determinants.pdf
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760.0 KB
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118 Slides Determinant of transposed matrix Row operations.pdf
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1.7 MB
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119 Notes Cofactor expansion along columns or rows.pdf
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3.1 MB
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119 Slides Cofactor expansion along columns or rows.pdf
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2.8 MB
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120 Notes Evaluating determinants by row or column reduction.pdf
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983.1 KB
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120 Slides Evaluating determinants by row or column reduction.pdf
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1.4 MB
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121 Slides Determinant of inverse.pdf
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1.3 MB
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122 Notes Properties of determinants Problem 1.pdf
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666.4 KB
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122 Slides Properties of determinants Problem 1.pdf
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2.6 MB
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123 Notes Properties of determinants Problem 2.pdf
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814.4 KB
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123 Slides Properties of determinants Problem 2.pdf
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1.8 MB
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124 Notes Properties of determinants Problem 3.pdf
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813.5 KB
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124 Slides Properties of determinants Problem 3.pdf
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2.4 MB
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125 Notes Determinant equations Problem 4.pdf
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560.7 KB
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125 Slides Determinant equations Problem 4.pdf
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280.8 KB
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126 Notes Determinant equations Problem 5.pdf
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1.4 MB
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126 Slides Determinant equations Problem 5.pdf
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280.7 KB
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127 Slides Determinant equations Problem 6.pdf
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538.5 KB
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128 Slides Determinant equations Problem 7.pdf
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740.8 KB
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129 Notes Invertible matrices Determinant test with a proof Problem 8.pdf
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1.0 MB
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129 Slides Invertible matrices Determinant test with a proof Problem 8.pdf
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2.1 MB
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130 Notes Cramers rule Proof Example Geometrical interpretation.pdf
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810.8 KB
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130 Slides Cramers rule Proof Example Geometrical interpretation.pdf
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1.6 MB
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131 Notes Cramers rule, Problem 9.pdf
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1.3 MB
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131 Slides Cramers rule, Problem 9.pdf
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1.2 MB
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132 Notes Inverse matrix An explicit formula.pdf
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705.1 KB
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132 Slides Inverse matrix An explicit formula.pdf
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3.0 MB
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133 Notes Inverse matrix An explicit formula Problem 10.pdf
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1.1 MB
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133 Slides Inverse matrix An explicit formula Problem 10.pdf
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1.0 MB
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134 Slides Problem 11 A large determinant.pdf
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1.2 MB
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135 Notes Problem 12 Another large determinant.pdf
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1.4 MB
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135 Slides Problem 12 Another large determinant.pdf
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211.4 KB
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136 Notes Problem 13 A trigonometric determinant.pdf
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1.3 MB
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136 Slides Problem 13 A trigonometric determinant.pdf
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227.2 KB
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137 Article-Solved-Problems-Determinants.pdf
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1.6 MB
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137 Notes Problem 14 Vandermonde determinant.pdf
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2.5 MB
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137 Slides Problem 14 Vandermonde determinant.pdf
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1.1 MB
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0.1 KB
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/11 Vectors in 2-space, 3-space, and n-space/
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001 Vectors, a repetition.en.srt
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9.5 KB
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001 Vectors, a repetition.mp4
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58.0 MB
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002 Computation rules for vector addition and scaling.en.srt
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13.1 KB
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002 Computation rules for vector addition and scaling.mp4
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113.7 MB
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003 Computations with vectors, Problem 1.en.srt
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8.8 KB
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003 Computations with vectors, Problem 1.mp4
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180.7 MB
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004 Computations with vectors, Problem 2.en.srt
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7.7 KB
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004 Computations with vectors, Problem 2.mp4
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138.2 MB
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005 Computations with vectors, Problem 3.en.srt
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5.5 KB
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005 Computations with vectors, Problem 3.mp4
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110.3 MB
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006 Parallel vectors, Problem 4.en.srt
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7.3 KB
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006 Parallel vectors, Problem 4.mp4
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150.2 MB
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007 Parallel vectors, Problem 5.en.srt
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9.1 KB
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007 Parallel vectors, Problem 5.mp4
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104.9 MB
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