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Udemy - Master linear algebra theory and implementation in code (3.2025)

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File Name
Size
01. Introductions/1. What is linear algebra.mp4
12 MB
01. Introductions/1. What is linear algebra.vtt
9.1 kB
01. Introductions/2. Linear algebra applications.mp4
7.8 MB
01. Introductions/2. Linear algebra applications.vtt
6.8 kB
01. Introductions/3. An enticing start to a linear algebra course!.mp4
82 MB
01. Introductions/3. An enticing start to a linear algebra course!.vtt
15 kB
01. Introductions/3. picSVD.zip
18 kB
01. Introductions/4. How best to learn from this course.mp4
14 MB
01. Introductions/4. How best to learn from this course.vtt
5.2 kB
01. Introductions/5. Maximizing your Udemy experience.mp4
38 MB
01. Introductions/5. Maximizing your Udemy experience.vtt
11 kB
02. Get the course materials/1. How to download and use course materials.mp4
34 MB
02. Get the course materials/1. How to download and use course materials.vtt
11 kB
02. Get the course materials/1. LinearAlgebra_courseMaterials.zip
2.2 MB
02. Get the course materials/1. Link-to-github-site.txt
42 B
03. Vectors/1. Algebraic and geometric interpretations of vectors.mp4
67 MB
03. Vectors/1. Algebraic and geometric interpretations of vectors.vtt
16 kB
03. Vectors/10.2 Vector length in Python.html
17 kB
03. Vectors/11. Dot product geometry sign and orthogonality.mp4
73 MB
03. Vectors/11. Dot product geometry sign and orthogonality.vtt
29 kB
03. Vectors/12.3 Vector orthogonality.html
16 kB
03. Vectors/13. Code challenge Cauchy-Schwarz inequality.mp4
55 MB
03. Vectors/13. Code challenge Cauchy-Schwarz inequality.vtt
20 kB
03. Vectors/14.4 Relative vector angles.html
17 kB
03. Vectors/15. Code challenge dot product sign and scalar multiplication.mp4
38 MB
03. Vectors/15. Code challenge dot product sign and scalar multiplication.vtt
15 kB
03. Vectors/16. Vector Hadamard multiplication.mp4
11 MB
03. Vectors/16. Vector Hadamard multiplication.vtt
4.6 kB
03. Vectors/17. Outer product.mp4
31 MB
03. Vectors/17. Outer product.vtt
13 kB
03. Vectors/18. Vector cross product.mp4
66 MB
03. Vectors/18. Vector cross product.vtt
11 kB
03. Vectors/19. Vectors with complex numbers.mp4
18 MB
03. Vectors/19. Vectors with complex numbers.vtt
9.1 kB
03. Vectors/2. Vector addition and subtraction.mp4
45 MB
03. Vectors/2. Vector addition and subtraction.vtt
10 kB
03. Vectors/20. Hermitian transpose (a.k.a. conjugate transpose).mp4
57 MB
03. Vectors/20. Hermitian transpose (a.k.a. conjugate transpose).vtt
20 kB
03. Vectors/21. Interpreting and creating unit vectors.mp4
39 MB
03. Vectors/21. Interpreting and creating unit vectors.vtt
9.2 kB
03. Vectors/22. Code challenge dot products with unit vectors.mp4
48 MB
03. Vectors/22. Code challenge dot products with unit vectors.vtt
16 kB
03. Vectors/23. Dimensions and fields in linear algebra.mp4
35 MB
03. Vectors/23. Dimensions and fields in linear algebra.vtt
8.8 kB
03. Vectors/24. Subspaces.mp4
37 MB
03. Vectors/24. Subspaces.vtt
17 kB
03. Vectors/25. Subspaces vs. subsets.mp4
15 MB
03. Vectors/25. Subspaces vs. subsets.vtt
6.2 kB
03. Vectors/26. Span.mp4
54 MB
03. Vectors/26. Span.vtt
16 kB
03. Vectors/27.5 In the span.html
16 kB
03. Vectors/28. Linear independence.mp4
51 MB
03. Vectors/28. Linear independence.vtt
18 kB
03. Vectors/29. Basis.mp4
36 MB
03. Vectors/29. Basis.vtt
13 kB
03. Vectors/3. Vector-scalar multiplication.mp4
49 MB
03. Vectors/3. Vector-scalar multiplication.vtt
11 kB
03. Vectors/4. Vector-vector multiplication the dot product.mp4
56 MB
03. Vectors/4. Vector-vector multiplication the dot product.vtt
13 kB
03. Vectors/5. Dot product properties associative, distributive, commutative.mp4
66 MB
03. Vectors/5. Dot product properties associative, distributive, commutative.vtt
23 kB
03. Vectors/6. Code challenge dot products with matrix columns.mp4
28 MB
03. Vectors/6. Code challenge dot products with matrix columns.vtt
10 kB
03. Vectors/7. Code challenge is the dot product commutative.mp4
42 MB
03. Vectors/7. Code challenge is the dot product commutative.vtt
11 kB
03. Vectors/8. Vector length.mp4
18 MB
03. Vectors/8. Vector length.vtt
8.4 kB
03. Vectors/9.1 Vector length in MATLAB.html
16 kB
04. Introduction to matrices/1. Matrix terminology and dimensionality.mp4
17 MB
04. Introduction to matrices/1. Matrix terminology and dimensionality.vtt
9.1 kB
04. Introduction to matrices/10.8 Addition, equality, and transpose.html
16 kB
04. Introduction to matrices/11. Diagonal and trace.mp4
37 MB
04. Introduction to matrices/11. Diagonal and trace.vtt
11 kB
04. Introduction to matrices/12. Code challenge linearity of trace.mp4
47 MB
04. Introduction to matrices/12. Code challenge linearity of trace.vtt
12 kB
04. Introduction to matrices/13. Broadcasting matrix arithmetic.mp4
79 MB
04. Introduction to matrices/13. Broadcasting matrix arithmetic.vtt
18 kB
04. Introduction to matrices/2.6 Matrix sizes and dimensionality.html
16 kB
04. Introduction to matrices/3. A zoo of matrices.mp4
105 MB
04. Introduction to matrices/3. A zoo of matrices.vtt
21 kB
04. Introduction to matrices/4.7 Can the matrices be concatenated.html
17 kB
04. Introduction to matrices/5. Matrix addition and subtraction.mp4
30 MB
04. Introduction to matrices/5. Matrix addition and subtraction.vtt
10 kB
04. Introduction to matrices/6. Matrix-scalar multiplication.mp4
8.3 MB
04. Introduction to matrices/6. Matrix-scalar multiplication.vtt
3.0 kB
04. Introduction to matrices/7. Code challenge is matrix-scalar multiplication a linear operation.mp4
23 MB
04. Introduction to matrices/7. Code challenge is matrix-scalar multiplication a linear operation.vtt
9.2 kB
04. Introduction to matrices/8. Transpose.mp4
44 MB
04. Introduction to matrices/8. Transpose.vtt
13 kB
04. Introduction to matrices/9. Complex matrices.mp4
3.5 MB
04. Introduction to matrices/9. Complex matrices.vtt
2.2 kB
05. Matrix multiplications/1. Introduction to standard matrix multiplication.mp4
29 MB
05. Matrix multiplications/1. Introduction to standard matrix multiplication.vtt
12 kB
05. Matrix multiplications/10. Code challenge Geometric transformations via matrix multiplications.mp4
76 MB
05. Matrix multiplications/10. Code challenge Geometric transformations via matrix multiplications.vtt
20 kB
05. Matrix multiplications/11. Additive and multiplicative matrix identities.mp4
20 MB
05. Matrix multiplications/11. Additive and multiplicative matrix identities.vtt
7.7 kB
05. Matrix multiplications/12. Additive and multiplicative symmetric matrices.mp4
76 MB
05. Matrix multiplications/12. Additive and multiplicative symmetric matrices.vtt
19 kB
05. Matrix multiplications/13. Hadamard (element-wise) multiplication.mp4
16 MB
05. Matrix multiplications/13. Hadamard (element-wise) multiplication.vtt
6.0 kB
05. Matrix multiplications/14.10 Matrix operation equality.html
17 kB
05. Matrix multiplications/15. Code challenge symmetry of combined symmetric matrices.mp4
32 MB
05. Matrix multiplications/15. Code challenge symmetry of combined symmetric matrices.vtt
14 kB
05. Matrix multiplications/16. Multiplication of two symmetric matrices.mp4
49 MB
05. Matrix multiplications/16. Multiplication of two symmetric matrices.vtt
16 kB
05. Matrix multiplications/17. Code challenge standard and Hadamard multiplication for diagonal matrices.mp4
22 MB
05. Matrix multiplications/17. Code challenge standard and Hadamard multiplication for diagonal matrices.vtt
7.7 kB
05. Matrix multiplications/18. Code challenge Fourier transform via matrix multiplication!.mp4
57 MB
05. Matrix multiplications/18. Code challenge Fourier transform via matrix multiplication!.vtt
14 kB
05. Matrix multiplications/19. Frobenius dot product.mp4
45 MB
05. Matrix multiplications/19. Frobenius dot product.vtt
14 kB
05. Matrix multiplications/2. Four ways to think about matrix multiplication.mp4
26 MB
05. Matrix multiplications/2. Four ways to think about matrix multiplication.vtt
13 kB
05. Matrix multiplications/2. matrixMult_4ways.png
219 kB
05. Matrix multiplications/20. Matrix norms.mp4
69 MB
05. Matrix multiplications/20. Matrix norms.vtt
23 kB
05. Matrix multiplications/21. Code challenge conditions for self-adjoint.mp4
35 MB
05. Matrix multiplications/21. Code challenge conditions for self-adjoint.vtt
16 kB
05. Matrix multiplications/22. Code challenge The matrix asymmetry index.mp4
180 MB
05. Matrix multiplications/22. Code challenge The matrix asymmetry index.vtt
35 kB
05. Matrix multiplications/23. What about matrix division.mp4
7.4 MB
05. Matrix multiplications/23. What about matrix division.vtt
4.8 kB
05. Matrix multiplications/3. Code challenge matrix multiplication by layering.mp4
32 MB
05. Matrix multiplications/3. Code challenge matrix multiplication by layering.vtt
12 kB
05. Matrix multiplications/4. Matrix multiplication with a diagonal matrix.mp4
9.6 MB
05. Matrix multiplications/4. Matrix multiplication with a diagonal matrix.vtt
4.3 kB
05. Matrix multiplications/5. Order-of-operations on matrices.mp4
34 MB
05. Matrix multiplications/5. Order-of-operations on matrices.vtt
10 kB
05. Matrix multiplications/6. Matrix-vector multiplication.mp4
86 MB
05. Matrix multiplications/6. Matrix-vector multiplication.vtt
20 kB
05. Matrix multiplications/7.9 Find the missing value!.html
16 kB
05. Matrix multiplications/8. 2D transformation matrices.mp4
63 MB
05. Matrix multiplications/8. 2D transformation matrices.vtt
20 kB
05. Matrix multiplications/9. Code challenge Pure and impure rotation matrices.mp4
56 MB
05. Matrix multiplications/9. Code challenge Pure and impure rotation matrices.vtt
15 kB
06. Matrix rank/1. Rank concepts, terms, and applications.mp4
30 MB
06. Matrix rank/1. Rank concepts, terms, and applications.vtt
12 kB
06. Matrix rank/10. Making a matrix full-rank by shifting.mp4
62 MB
06. Matrix rank/10. Making a matrix full-rank by shifting.vtt
17 kB
06. Matrix rank/11. Code challenge is this vector in the span of this set.mp4
44 MB
06. Matrix rank/11. Code challenge is this vector in the span of this set.vtt
14 kB
06. Matrix rank/12. Course tangent self-accountability in online learning.mp4
18 MB
06. Matrix rank/12. Course tangent self-accountability in online learning.vtt
3.6 kB
06. Matrix rank/2.11 Maximum possible rank..html
16 kB
06. Matrix rank/3. Computing rank theory and practice.mp4
104 MB
06. Matrix rank/3. Computing rank theory and practice.vtt
27 kB
06. Matrix rank/4. Rank of added and multiplied matrices.mp4
31 MB
06. Matrix rank/4. Rank of added and multiplied matrices.vtt
13 kB
06. Matrix rank/5.12 What's the maximum possible rank.html
17 kB
06. Matrix rank/6. Code challenge reduced-rank matrix via multiplication.mp4
58 MB
06. Matrix rank/6. Code challenge reduced-rank matrix via multiplication.vtt
12 kB
06. Matrix rank/7. Code challenge scalar multiplication and rank.mp4
33 MB
06. Matrix rank/7. Code challenge scalar multiplication and rank.vtt
15 kB
06. Matrix rank/8. Rank of A^TA and AA^T.mp4
28 MB
06. Matrix rank/8. Rank of A^TA and AA^T.vtt
12 kB
06. Matrix rank/9. Code challenge rank of multiplied and summed matrices.mp4
17 MB
06. Matrix rank/9. Code challenge rank of multiplied and summed matrices.vtt
7.6 kB
07. Matrix spaces/1. Column space of a matrix.mp4
29 MB
07. Matrix spaces/1. Column space of a matrix.vtt
14 kB
07. Matrix spaces/2. Column space, visualized in code.mp4
31 MB
07. Matrix spaces/2. Column space, visualized in code.vtt
8.3 kB
07. Matrix spaces/3. Row space of a matrix.mp4
24 MB
07. Matrix spaces/3. Row space of a matrix.vtt
4.8 kB
07. Matrix spaces/4. Null space and left null space of a matrix.mp4
32 MB
07. Matrix spaces/4. Null space and left null space of a matrix.vtt
16 kB
07. Matrix spaces/5. Columnleft-null and rownull spaces are orthogonal.mp4
25 MB
07. Matrix spaces/5. Columnleft-null and rownull spaces are orthogonal.vtt
12 kB
07. Matrix spaces/6. Dimensions of columnrownull spaces.mp4
20 MB
07. Matrix spaces/6. Dimensions of columnrownull spaces.vtt
9.1 kB
07. Matrix spaces/7. Example of the four subspaces.mp4
26 MB
07. Matrix spaces/7. Example of the four subspaces.vtt
13 kB
07. Matrix spaces/8. More on Ax=b and Ax=0.mp4
19 MB
07. Matrix spaces/8. More on Ax=b and Ax=0.vtt
8.2 kB
08. Solving systems of equations/1. Systems of equations algebra and geometry.mp4
87 MB
08. Solving systems of equations/1. Systems of equations algebra and geometry.vtt
24 kB
08. Solving systems of equations/2. Converting systems of equations to matrix equations.mp4
11 MB
08. Solving systems of equations/2. Converting systems of equations to matrix equations.vtt
5.1 kB
08. Solving systems of equations/3. Gaussian elimination.mp4
33 MB
08. Solving systems of equations/3. Gaussian elimination.vtt
18 kB
08. Solving systems of equations/4. Echelon form and pivots.mp4
18 MB
08. Solving systems of equations/4. Echelon form and pivots.vtt
8.5 kB
08. Solving systems of equations/5. Reduced row echelon form.mp4
86 MB
08. Solving systems of equations/5. Reduced row echelon form.vtt
23 kB
08. Solving systems of equations/6. Code challenge RREF of matrices with different sizes and ranks.mp4
39 MB
08. Solving systems of equations/6. Code challenge RREF of matrices with different sizes and ranks.vtt
16 kB
08. Solving systems of equations/7. Matrix spaces after row reduction.mp4
24 MB
08. Solving systems of equations/7. Matrix spaces after row reduction.vtt
11 kB
09. Matrix determinant/1. Determinant concept and applications.mp4
18 MB
09. Matrix determinant/1. Determinant concept and applications.vtt
7.2 kB
09. Matrix determinant/2. Determinant of a 2x2 matrix.mp4
16 MB
09. Matrix determinant/2. Determinant of a 2x2 matrix.vtt
8.1 kB
09. Matrix determinant/3. Code challenge determinant of small and large singular matrices.mp4
64 MB
09. Matrix determinant/3. Code challenge determinant of small and large singular matrices.vtt
13 kB
09. Matrix determinant/4. Determinant of a 3x3 matrix.mp4
33 MB
09. Matrix determinant/4. Determinant of a 3x3 matrix.vtt
15 kB
09. Matrix determinant/5. Code challenge large matrices with row exchanges.mp4
19 MB
09. Matrix determinant/5. Code challenge large matrices with row exchanges.vtt
7.8 kB
09. Matrix determinant/6. Find matrix values for a given determinant.mp4
11 MB
09. Matrix determinant/6. Find matrix values for a given determinant.vtt
5.8 kB
09. Matrix determinant/7. Code challenge determinant of shifted matrices.mp4
74 MB
09. Matrix determinant/7. Code challenge determinant of shifted matrices.vtt
22 kB
09. Matrix determinant/8. Code challenge determinant of matrix product.mp4
59 MB
09. Matrix determinant/8. Code challenge determinant of matrix product.vtt
14 kB
10. Matrix inverse/1. Matrix inverse Concept and applications.mp4
52 MB
10. Matrix inverse/1. Matrix inverse Concept and applications.vtt
14 kB
10. Matrix inverse/10. Proof the inverse is unique.mp4
9.6 MB
10. Matrix inverse/10. Proof the inverse is unique.vtt
3.5 kB
10. Matrix inverse/11. Pseudo-inverse, part 1.mp4
81 MB
10. Matrix inverse/11. Pseudo-inverse, part 1.vtt
14 kB
10. Matrix inverse/12. Code challenge pseudoinverse of invertible matrices.mp4
31 MB
10. Matrix inverse/12. Code challenge pseudoinverse of invertible matrices.vtt
7.0 kB
10. Matrix inverse/13. Why should you avoid the inverse.html
424 B
10. Matrix inverse/2. Computing the inverse in code.mp4
28 MB
10. Matrix inverse/2. Computing the inverse in code.vtt
8.1 kB
10. Matrix inverse/3. Inverse of a 2x2 matrix.mp4
20 MB
10. Matrix inverse/3. Inverse of a 2x2 matrix.vtt
8.9 kB
10. Matrix inverse/4. The MCA algorithm to compute the inverse.mp4
58 MB
10. Matrix inverse/4. The MCA algorithm to compute the inverse.vtt
16 kB
10. Matrix inverse/5. Code challenge Implement the MCA algorithm!!.mp4
99 MB
10. Matrix inverse/5. Code challenge Implement the MCA algorithm!!.vtt
22 kB
10. Matrix inverse/6. Computing the inverse via row reduction.mp4
65 MB
10. Matrix inverse/6. Computing the inverse via row reduction.vtt
19 kB
10. Matrix inverse/7. Code challenge inverse of a diagonal matrix.mp4
35 MB
10. Matrix inverse/7. Code challenge inverse of a diagonal matrix.vtt
13 kB
10. Matrix inverse/8. Left inverse and right inverse.mp4
22 MB
10. Matrix inverse/8. Left inverse and right inverse.vtt
11 kB
10. Matrix inverse/9. One-sided inverses in code.mp4
64 MB
10. Matrix inverse/9. One-sided inverses in code.vtt
16 kB
11. Projections and orthogonalization/1. Projections in R^2.mp4
46 MB
11. Projections and orthogonalization/1. Projections in R^2.vtt
12 kB
11. Projections and orthogonalization/10. Code challenge Inverse via QR.mp4
125 MB
11. Projections and orthogonalization/10. Code challenge Inverse via QR.vtt
17 kB
11. Projections and orthogonalization/11. Code challenge Prove and demonstrate the Sherman-Morrison inverse.mp4
62 MB
11. Projections and orthogonalization/11. Code challenge Prove and demonstrate the Sherman-Morrison inverse.vtt
22 kB
11. Projections and orthogonalization/12. Code challenge A^TA = R^TR.mp4
21 MB
11. Projections and orthogonalization/12. Code challenge A^TA = R^TR.vtt
7.0 kB
11. Projections and orthogonalization/2. Projections in R^N.mp4
65 MB
11. Projections and orthogonalization/2. Projections in R^N.vtt
18 kB
11. Projections and orthogonalization/3. Orthogonal and parallel vector components.mp4
51 MB
11. Projections and orthogonalization/3. Orthogonal and parallel vector components.vtt
14 kB
11. Projections and orthogonalization/4. Code challenge decompose vector to orthogonal components.mp4
68 MB
11. Projections and orthogonalization/4. Code challenge decompose vector to orthogonal components.vtt
20 kB
11. Projections and orthogonalization/5. Orthogonal matrices.mp4
23 MB
11. Projections and orthogonalization/5. Orthogonal matrices.vtt
13 kB
11. Projections and orthogonalization/6. Gram-Schmidt procedure.mp4
27 MB
11. Projections and orthogonalization/6. Gram-Schmidt procedure.vtt
15 kB
11. Projections and orthogonalization/7. QR decomposition.mp4
81 MB
11. Projections and orthogonalization/7. QR decomposition.vtt
24 kB
11. Projections and orthogonalization/8. Code challenge Gram-Schmidt algorithm.mp4
92 MB
11. Projections and orthogonalization/8. Code challenge Gram-Schmidt algorithm.vtt
26 kB
11. Projections and orthogonalization/9. Matrix inverse via QR decomposition.mp4
3.7 MB
11. Projections and orthogonalization/9. Matrix inverse via QR decomposition.vtt
1.9 kB
12. Least-squares for model-fitting in statistics/1. Introduction to least-squares.mp4
40 MB
12. Least-squares for model-fitting in statistics/1. Introduction to least-squares.vtt
15 kB
12. Least-squares for model-fitting in statistics/2. Least-squares via left inverse.mp4
23 MB
12. Least-squares for model-fitting in statistics/2. Least-squares via left inverse.vtt
11 kB
12. Least-squares for model-fitting in statistics/3. Least-squares via orthogonal projection.mp4
22 MB
12. Least-squares for model-fitting in statistics/3. Least-squares via orthogonal projection.vtt
9.9 kB
12. Least-squares for model-fitting in statistics/4. Least-squares via row-reduction.mp4
76 MB
12. Least-squares for model-fitting in statistics/4. Least-squares via row-reduction.vtt
21 kB
12. Least-squares for model-fitting in statistics/5. Model-predicted values and residuals.mp4
18 MB
12. Least-squares for model-fitting in statistics/5. Model-predicted values and residuals.vtt
7.6 kB
12. Least-squares for model-fitting in statistics/6. Least-squares application 1.mp4
131 MB
12. Least-squares for model-fitting in statistics/6. Least-squares application 1.vtt
23 kB
12. Least-squares for model-fitting in statistics/7. Least-squares application 2.mp4
234 MB
12. Least-squares for model-fitting in statistics/7. Least-squares application 2.vtt
36 kB
12. Least-squares for model-fitting in statistics/8. Code challenge Least-squares via QR decomposition.mp4
35 MB
12. Least-squares for model-fitting in statistics/8. Code challenge Least-squares via QR decomposition.vtt
12 kB
13. Eigendecomposition/1. What are eigenvalues and eigenvectors.mp4
33 MB
13. Eigendecomposition/1. What are eigenvalues and eigenvectors.vtt
14 kB
13. Eigendecomposition/10. Code challenge eigendecomposition of matrix differences.mp4
113 MB
13. Eigendecomposition/10. Code challenge eigendecomposition of matrix differences.vtt
23 kB
13. Eigendecomposition/11. Eigenvectors of distinct eigenvalues.mp4
22 MB
13. Eigendecomposition/11. Eigenvectors of distinct eigenvalues.vtt
9.0 kB
13. Eigendecomposition/12. Eigenvectors of repeated eigenvalues.mp4
39 MB
13. Eigendecomposition/12. Eigenvectors of repeated eigenvalues.vtt
14 kB
13. Eigendecomposition/13. Eigendecomposition of symmetric matrices.mp4
54 MB
13. Eigendecomposition/13. Eigendecomposition of symmetric matrices.vtt
17 kB
13. Eigendecomposition/14. Eigenlayers of a matrix.mp4
16 MB
13. Eigendecomposition/14. Eigenlayers of a matrix.vtt
8.2 kB
13. Eigendecomposition/15. Code challenge reconstruct a matrix from eigenlayers.mp4
132 MB
13. Eigendecomposition/15. Code challenge reconstruct a matrix from eigenlayers.vtt
24 kB
13. Eigendecomposition/16. Eigendecomposition of singular matrices.mp4
9.9 MB
13. Eigendecomposition/16. Eigendecomposition of singular matrices.vtt
5.0 kB
13. Eigendecomposition/17. Code challenge trace and determinant, eigenvalues sum and product.mp4
49 MB
13. Eigendecomposition/17. Code challenge trace and determinant, eigenvalues sum and product.vtt
13 kB
13. Eigendecomposition/18. Generalized eigendecomposition.mp4
53 MB
13. Eigendecomposition/18. Generalized eigendecomposition.vtt
14 kB
13. Eigendecomposition/19. Code challenge GED in small and large matrices.mp4
170 MB
13. Eigendecomposition/19. Code challenge GED in small and large matrices.vtt
26 kB
13. Eigendecomposition/2. Finding eigenvalues.mp4
73 MB
13. Eigendecomposition/2. Finding eigenvalues.vtt
24 kB
13. Eigendecomposition/3. Shortcut for eigenvalues of a 2x2 matrix.mp4
7.4 MB
13. Eigendecomposition/3. Shortcut for eigenvalues of a 2x2 matrix.vtt
3.0 kB
13. Eigendecomposition/4. Code challenge eigenvalues of diagonal and triangular matrices.mp4
57 MB
13. Eigendecomposition/4. Code challenge eigenvalues of diagonal and triangular matrices.vtt
18 kB
13. Eigendecomposition/5. Code challenge eigenvalues of random matrices.mp4
62 MB
13. Eigendecomposition/5. Code challenge eigenvalues of random matrices.vtt
13 kB
13. Eigendecomposition/6. Finding eigenvectors.mp4
62 MB
13. Eigendecomposition/6. Finding eigenvectors.vtt
19 kB
13. Eigendecomposition/7. Eigendecomposition by hand two examples.mp4
24 MB
13. Eigendecomposition/7. Eigendecomposition by hand two examples.vtt
11 kB
13. Eigendecomposition/8. Diagonalization.mp4
50 MB
13. Eigendecomposition/8. Diagonalization.vtt
18 kB
13. Eigendecomposition/9. Matrix powers via diagonalization.mp4
170 MB
13. Eigendecomposition/9. Matrix powers via diagonalization.vtt
25 kB
14. Singular value decomposition/1. Singular value decomposition (SVD).mp4
93 MB
14. Singular value decomposition/1. Singular value decomposition (SVD).vtt
21 kB
14. Singular value decomposition/10. Code challenge When is UV^T valid, what is its norm, and is it orthogonal.mp4
48 MB
14. Singular value decomposition/10. Code challenge When is UV^T valid, what is its norm, and is it orthogonal.vtt
14 kB
14. Singular value decomposition/11.14 Singular values of an orthogonal matrix.html
17 kB
14. Singular value decomposition/12. SVD, matrix inverse, and pseudoinverse.mp4
82 MB
14. Singular value decomposition/12. SVD, matrix inverse, and pseudoinverse.vtt
16 kB
14. Singular value decomposition/13. SVD, (pseudo)inverse, and left-inverse.mp4
22 MB
14. Singular value decomposition/13. SVD, (pseudo)inverse, and left-inverse.vtt
9.8 kB
14. Singular value decomposition/14. Condition number of a matrix.mp4
56 MB
14. Singular value decomposition/14. Condition number of a matrix.vtt
16 kB
14. Singular value decomposition/15. Code challenge Create matrix with desired condition number.mp4
93 MB
14. Singular value decomposition/15. Code challenge Create matrix with desired condition number.vtt
19 kB
14. Singular value decomposition/16. Code challenge Why you avoid the inverse.mp4
101 MB
14. Singular value decomposition/16. Code challenge Why you avoid the inverse.vtt
18 kB
14. Singular value decomposition/2.13 Are these two expressions equal.html
17 kB
14. Singular value decomposition/3. Code challenge SVD vs. eigendecomposition for square symmetric matrices.mp4
112 MB
14. Singular value decomposition/3. Code challenge SVD vs. eigendecomposition for square symmetric matrices.vtt
30 kB
14. Singular value decomposition/4. Relation between singular values and eigenvalues.mp4
73 MB
14. Singular value decomposition/4. Relation between singular values and eigenvalues.vtt
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14. Singular value decomposition/5. Code challenge U from eigendecomposition of A^TA.mp4
114 MB
14. Singular value decomposition/5. Code challenge U from eigendecomposition of A^TA.vtt
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14. Singular value decomposition/6. SVD and the four subspaces.mp4
19 MB
14. Singular value decomposition/6. SVD and the four subspaces.vtt
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14. Singular value decomposition/7. Spectral theory of matrices.mp4
133 MB
14. Singular value decomposition/7. Spectral theory of matrices.vtt
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14. Singular value decomposition/8. SVD for low-rank approximations.mp4
92 MB
14. Singular value decomposition/8. SVD for low-rank approximations.vtt
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14. Singular value decomposition/9. Convert singular values to percent variance.mp4
82 MB
14. Singular value decomposition/9. Convert singular values to percent variance.vtt
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15. Quadratic form and definiteness/1. The quadratic form in algebra.mp4
48 MB
15. Quadratic form and definiteness/1. The quadratic form in algebra.vtt
18 kB
15. Quadratic form and definiteness/10. Proof Eigenvalues and matrix definiteness.mp4
22 MB
15. Quadratic form and definiteness/10. Proof Eigenvalues and matrix definiteness.vtt
8.9 kB
15. Quadratic form and definiteness/2. The quadratic form in geometry.mp4
63 MB
15. Quadratic form and definiteness/2. The quadratic form in geometry.vtt
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15. Quadratic form and definiteness/3. The normalized quadratic form.mp4
16 MB
15. Quadratic form and definiteness/3. The normalized quadratic form.vtt
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15. Quadratic form and definiteness/4. Code challenge Visualize the normalized quadratic form.mp4
89 MB
15. Quadratic form and definiteness/4. Code challenge Visualize the normalized quadratic form.vtt
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15. Quadratic form and definiteness/5. Eigenvectors and the quadratic form surface.mp4
45 MB
15. Quadratic form and definiteness/5. Eigenvectors and the quadratic form surface.vtt
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15. Quadratic form and definiteness/6. Application of the normalized quadratic form PCA.mp4
242 MB
15. Quadratic form and definiteness/6. Application of the normalized quadratic form PCA.vtt
35 kB
15. Quadratic form and definiteness/7. Quadratic form of generalized eigendecomposition.mp4
88 MB
15. Quadratic form and definiteness/7. Quadratic form of generalized eigendecomposition.vtt
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15. Quadratic form and definiteness/8. Matrix definiteness, geometry, and eigenvalues.mp4
58 MB
15. Quadratic form and definiteness/8. Matrix definiteness, geometry, and eigenvalues.vtt
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15. Quadratic form and definiteness/9. Proof A^TA is always positive (semi)definite.mp4
16 MB
15. Quadratic form and definiteness/9. Proof A^TA is always positive (semi)definite.vtt
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16. Bonus section/1. Bonus lecture.html
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