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1.1 linalg_eig.zip.zip |
297.22KB |
1.1 linalg_inverse.zip.zip |
226.13KB |
1.1 linalg_leastsquares.zip.zip |
315.41KB |
1.1 linalg_matrices.zip.zip |
166.28KB |
1.1 linalg_matrixDet.pdf.pdf |
138.29KB |
1.1 linalg_matrixMult.zip.zip |
214.72KB |
1.1 linalg_matrixRank.zip.zip |
179.67KB |
1.1 linalg_matrixSpaces.zip.zip |
209.95KB |
1.1 linalg_projorth.zip.zip |
246.46KB |
1.1 linalg_quadformDefinite.zip.zip |
395.50KB |
1.1 linalg_svd.zip.zip |
330.96KB |
1.1 linalg_systems.zip.zip |
211.22KB |
1.1 linalg_vectors.zip.zip |
385.88KB |
1. Bonus Links to related courses.html |
2.27KB |
1. Exercises.html |
52B |
1. Exercises + code.html |
76B |
1. Exercises + code.html |
86B |
1. Exercises + code.html |
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1. Exercises + code.html |
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1. Exercises + code.html |
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1. Exercises + code.html |
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1. Exercises + code.html |
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1. Exercises + code.html |
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1. Exercises + code.html |
85B |
1. Exercises + code.html |
36B |
1. Exercises + code.html |
40B |
1. Exercises + code.html |
85B |
1. What is linear algebra.mp4 |
50.15MB |
1. What is linear algebra.vtt |
9.14KB |
10. Code challenge Pure and impure rotation matrices.mp4 |
65.02MB |
10. Code challenge Pure and impure rotation matrices.vtt |
12.15KB |
10. Code challenge rank of multiplied and summed matrices.mp4 |
29.96MB |
10. Code challenge rank of multiplied and summed matrices.vtt |
7.56KB |
10. Complex matrices.mp4 |
6.76MB |
10. Complex matrices.vtt |
2.15KB |
10. Convert singular values to percent variance.mp4 |
58.38MB |
10. Convert singular values to percent variance.vtt |
12.85KB |
10. Dot product geometry sign and orthogonality.mp4 |
76.84MB |
10. Dot product geometry sign and orthogonality.vtt |
17.99KB |
10. Matrix inverse via QR decomposition.mp4 |
7.08MB |
10. Matrix inverse via QR decomposition.vtt |
1.91KB |
10. Matrix powers via diagonalization.mp4 |
85.67MB |
10. Matrix powers via diagonalization.vtt |
16.43KB |
10. One-sided inverses in MATLAB.mp4 |
45.07MB |
10. One-sided inverses in MATLAB.vtt |
7.45KB |
10. Proof A^TA is always positive (semi)definite.mp4 |
30.70MB |
10. Proof A^TA is always positive (semi)definite.vtt |
7.62KB |
11. Addition, equality, and transpose.html |
144B |
11. Code challenge eigendecomposition of matrix differences.mp4 |
48.54MB |
11. Code challenge eigendecomposition of matrix differences.vtt |
11.81KB |
11. Code challenge Geometric transformations via matrix multiplications.mp4 |
79.10MB |
11. Code challenge Geometric transformations via matrix multiplications.vtt |
15.80KB |
11. Code challenge Inverse via QR.mp4 |
72.49MB |
11. Code challenge Inverse via QR.vtt |
9.01KB |
11. Code challenge When is UV^T valid, what is its norm, and is it orthogonal.mp4 |
28.83MB |
11. Code challenge When is UV^T valid, what is its norm, and is it orthogonal.vtt |
6.97KB |
11. Making a matrix full-rank by shifting.mp4 |
59.90MB |
11. Making a matrix full-rank by shifting.vtt |
12.20KB |
11. Proof Eigenvalues and matrix definiteness.mp4 |
45.54MB |
11. Proof Eigenvalues and matrix definiteness.vtt |
8.87KB |
11. Proof the inverse is unique.mp4 |
16.45MB |
11. Proof the inverse is unique.vtt |
3.46KB |
11. Vector orthogonality.html |
144B |
12. Additive and multiplicative matrix identities.mp4 |
25.26MB |
12. Additive and multiplicative matrix identities.vtt |
5.73KB |
12. Code challenge is this vector in the span of this set.mp4 |
24.39MB |
12. Code challenge is this vector in the span of this set.vtt |
7.96KB |
12. Code challenge Prove and demonstrate the Sherman-Morrison inverse.mp4 |
55.69MB |
12. Code challenge Prove and demonstrate the Sherman-Morrison inverse.vtt |
15.58KB |
12. Diagonal and trace.mp4 |
27.24MB |
12. Diagonal and trace.vtt |
6.52KB |
12. Eigenvectors of distinct eigenvalues.mp4 |
41.53MB |
12. Eigenvectors of distinct eigenvalues.vtt |
9.01KB |
12. Pseudo-inverse, part 1.mp4 |
54.50MB |
12. Pseudo-inverse, part 1.vtt |
9.67KB |
12. Relative vector angles.html |
144B |
12. Singular values of an orthogonal matrix.html |
144B |
13. Additive and multiplicative symmetric matrices.mp4 |
54.22MB |
13. Additive and multiplicative symmetric matrices.vtt |
13.24KB |
13. Code challenge A^TA = R^TR.mp4 |
21.93MB |
13. Code challenge A^TA = R^TR.vtt |
4.81KB |
13. Code challenge dot product sign and scalar multiplication.mp4 |
44.80MB |
13. Code challenge dot product sign and scalar multiplication.vtt |
13.04KB |
13. Code challenge linearity of trace.mp4 |
36.24MB |
13. Code challenge linearity of trace.vtt |
9.78KB |
13. Code challenge pseudoinverse of invertible matrices.mp4 |
19.32MB |
13. Code challenge pseudoinverse of invertible matrices.vtt |
4.88KB |
13. Eigenvectors of repeated eigenvalues.mp4 |
47.92MB |
13. Eigenvectors of repeated eigenvalues.vtt |
11.72KB |
13. SVD, matrix inverse, and pseudoinverse.mp4 |
44.68MB |
13. SVD, matrix inverse, and pseudoinverse.vtt |
10.23KB |
14. Code challenge is the dot product commutative.mp4 |
27.52MB |
14. Code challenge is the dot product commutative.vtt |
8.42KB |
14. Condition number of a matrix.mp4 |
42.41MB |
14. Condition number of a matrix.vtt |
9.74KB |
14. Eigendecomposition of symmetric matrices.mp4 |
60.44MB |
14. Eigendecomposition of symmetric matrices.vtt |
13.08KB |
14. Hadamard (element-wise) multiplication.mp4 |
11.93MB |
14. Hadamard (element-wise) multiplication.vtt |
2.90KB |
15. Code challenge Create matrix with desired condition number.mp4 |
72.32MB |
15. Code challenge Create matrix with desired condition number.vtt |
14.04KB |
15. Eigenlayers of a matrix.mp4 |
24.75MB |
15. Eigenlayers of a matrix.vtt |
6.44KB |
15. Matrix operation equality.html |
144B |
15. Vector Hadamard multiplication.mp4 |
12.14MB |
15. Vector Hadamard multiplication.vtt |
2.75KB |
16. Code challenge reconstruct a matrix from eigenlayers.mp4 |
49.85MB |
16. Code challenge reconstruct a matrix from eigenlayers.vtt |
11.79KB |
16. Code challenge symmetry of combined symmetric matrices.mp4 |
34.19MB |
16. Code challenge symmetry of combined symmetric matrices.vtt |
9.29KB |
16. Outer product.mp4 |
42.02MB |
16. Outer product.vtt |
9.57KB |
17. Eigendecomposition of singular matrices.mp4 |
20.06MB |
17. Eigendecomposition of singular matrices.vtt |
5.47KB |
17. Multiplication of two symmetric matrices.mp4 |
49.74MB |
17. Multiplication of two symmetric matrices.vtt |
11.20KB |
17. Vector cross product.mp4 |
44.38MB |
17. Vector cross product.vtt |
7.55KB |
18. Code challenge standard and Hadamard multiplication for diagonal matrices.mp4 |
19.94MB |
18. Code challenge standard and Hadamard multiplication for diagonal matrices.vtt |
5.71KB |
18. Code challenge trace and determinant, eigenvalues sum and product.mp4 |
33.04MB |
18. Code challenge trace and determinant, eigenvalues sum and product.vtt |
9.69KB |
18. Vectors with complex numbers.mp4 |
32.88MB |
18. Vectors with complex numbers.vtt |
9.15KB |
19. Code challenge Fourier transform via matrix multiplication!.mp4 |
47.83MB |
19. Code challenge Fourier transform via matrix multiplication!.vtt |
11.75KB |
19. Generalized eigendecomposition.mp4 |
45.27MB |
19. Generalized eigendecomposition.vtt |
10.10KB |
19. Hermitian transpose (a.k.a. conjugate transpose).mp4 |
55.50MB |
19. Hermitian transpose (a.k.a. conjugate transpose).vtt |
13.66KB |
2. Algebraic and geometric interpretations of vectors.mp4 |
40.69MB |
2. Algebraic and geometric interpretations of vectors.vtt |
10.89KB |
2. Column space of a matrix.mp4 |
55.61MB |
2. Column space of a matrix.vtt |
14.41KB |
2. Determinant concept and applications.mp4 |
33.76MB |
2. Determinant concept and applications.vtt |
7.21KB |
2. Introduction to least-squares.mp4 |
80.55MB |
2. Introduction to least-squares.vtt |
14.93KB |
2. Introduction to standard matrix multiplication.mp4 |
37.79MB |
2. Introduction to standard matrix multiplication.vtt |
9.31KB |
2. Linear algebra applications.mp4 |
29.58MB |
2. Linear algebra applications.vtt |
6.85KB |
2. Matrix inverse Concept and applications.mp4 |
48.79MB |
2. Matrix inverse Concept and applications.vtt |
14.36KB |
2. Matrix terminology and dimensionality.mp4 |
32.58MB |
2. Matrix terminology and dimensionality.vtt |
8.96KB |
2. Projections in R^2.mp4 |
36.88MB |
2. Projections in R^2.vtt |
9.62KB |
2. Rank concepts, terms, and applications.mp4 |
48.93MB |
2. Rank concepts, terms, and applications.vtt |
12.18KB |
2. Singular value decomposition (SVD).mp4 |
70.93MB |
2. Singular value decomposition (SVD).vtt |
15.72KB |
2. Systems of equations algebra and geometry.mp4 |
84.61MB |
2. Systems of equations algebra and geometry.vtt |
17.74KB |
2. The quadratic form in algebra.mp4 |
46.50MB |
2. The quadratic form in algebra.vtt |
12.09KB |
2. What are eigenvalues and eigenvectors.mp4 |
63.49MB |
2. What are eigenvalues and eigenvectors.vtt |
13.99KB |
20. Code challenge GED in small and large matrices.mp4 |
72.37MB |
20. Code challenge GED in small and large matrices.vtt |
14.93KB |
20. Frobenius dot product.mp4 |
45.14MB |
20. Frobenius dot product.vtt |
9.38KB |
20. Interpreting and creating unit vectors.mp4 |
26.54MB |
20. Interpreting and creating unit vectors.vtt |
6.15KB |
21. Code challenge dot products with unit vectors.mp4 |
44.88MB |
21. Code challenge dot products with unit vectors.vtt |
11.79KB |
21. What about matrix division.mp4 |
14.08MB |
21. What about matrix division.vtt |
4.85KB |
22. Dimensions and fields in linear algebra.mp4 |
38.73MB |
22. Dimensions and fields in linear algebra.vtt |
8.81KB |
23. Subspaces.mp4 |
69.59MB |
23. Subspaces.vtt |
16.98KB |
24. Subspaces vs. subsets.mp4 |
29.05MB |
24. Subspaces vs. subsets.vtt |
6.17KB |
25. Span.mp4 |
59.92MB |
25. Span.vtt |
12.54KB |
26. In the span.html |
144B |
27. Linear independence.mp4 |
75.68MB |
27. Linear independence.vtt |
17.58KB |
28. Basis.mp4 |
50.94MB |
28. Basis.vtt |
12.85KB |
3. Are these two expressions equal.html |
144B |
3. Column space, visualized in MATLAB.mp4 |
28.04MB |
3. Column space, visualized in MATLAB.vtt |
4.22KB |
3. Computing the inverse in MATLAB.mp4 |
18.88MB |
3. Computing the inverse in MATLAB.vtt |
3.78KB |
3. Converting systems of equations to matrix equations.mp4 |
20.98MB |
3. Converting systems of equations to matrix equations.vtt |
5.10KB |
3. Determinant of a 2x2 matrix.mp4 |
27.36MB |
3. Determinant of a 2x2 matrix.vtt |
8.10KB |
3. Finding eigenvalues.mp4 |
70.05MB |
3. Finding eigenvalues.vtt |
17.20KB |
3. Four ways to think about matrix multiplication.mp4 |
50.62MB |
3. Four ways to think about matrix multiplication.vtt |
13.12KB |
3. How best to learn from this course.mp4 |
26.98MB |
3. How best to learn from this course.vtt |
5.21KB |
3. Least-squares via left inverse.mp4 |
44.38MB |
3. Least-squares via left inverse.vtt |
10.68KB |
3. Matrix sizes and dimensionality.html |
144B |
3. Maximum possible rank..html |
144B |
3. Projections in R^N.mp4 |
52.71MB |
3. Projections in R^N.vtt |
11.47KB |
3. The quadratic form in geometry.mp4 |
55.22MB |
3. The quadratic form in geometry.vtt |
12.37KB |
3. Vector addition and subtraction.mp4 |
25.82MB |
3. Vector addition and subtraction.vtt |
6.89KB |
4. A zoo of matrices.mp4 |
55.12MB |
4. A zoo of matrices.vtt |
12.98KB |
4. Code challenge determinant of small and large singular matrices.mp4 |
38.72MB |
4. Code challenge determinant of small and large singular matrices.vtt |
10.25KB |
4. Code challenge matrix multiplication by layering.mp4 |
35.63MB |
4. Code challenge matrix multiplication by layering.vtt |
9.25KB |
4. Code challenge SVD vs. eigendecomposition for square symmetric matrices.mp4 |
82.88MB |
4. Code challenge SVD vs. eigendecomposition for square symmetric matrices.vtt |
16.96KB |
4. Computing rank theory and practice.mp4 |
90.32MB |
4. Computing rank theory and practice.vtt |
19.04KB |
4. Gaussian elimination.mp4 |
63.49MB |
4. Gaussian elimination.vtt |
18.10KB |
4. Inverse of a 2x2 matrix.mp4 |
38.90MB |
4. Inverse of a 2x2 matrix.vtt |
8.94KB |
4. Least-squares via orthogonal projection.mp4 |
42.43MB |
4. Least-squares via orthogonal projection.vtt |
9.95KB |
4. Orthogonal and parallel vector components.mp4 |
57.27MB |
4. Orthogonal and parallel vector components.txt |
249B |
4. Orthogonal and parallel vector components.vtt |
14.13KB |
4. Row space of a matrix.mp4 |
23.45MB |
4. Row space of a matrix.vtt |
4.76KB |
4. Shortcut for eigenvalues of a 2x2 matrix.mp4 |
12.61MB |
4. Shortcut for eigenvalues of a 2x2 matrix.vtt |
3.01KB |
4. The normalized quadratic form.mp4 |
31.25MB |
4. The normalized quadratic form.vtt |
7.27KB |
4. Using MATLAB, Octave, or Python in this course.mp4 |
21.20MB |
4. Using MATLAB, Octave, or Python in this course.vtt |
4.59KB |
4. Vector-scalar multiplication.mp4 |
29.42MB |
4. Vector-scalar multiplication.vtt |
7.58KB |
5. Can the matrices be concatenated.html |
144B |
5. Code challenge decompose vector to orthogonal components.mp4 |
59.03MB |
5. Code challenge decompose vector to orthogonal components.vtt |
12.81KB |
5. Code challenge eigenvalues of diagonal and triangular matrices.mp4 |
33.88MB |
5. Code challenge eigenvalues of diagonal and triangular matrices.vtt |
9.45KB |
5. Code challenge U from eigendecomposition of A^TA.mp4 |
67.23MB |
5. Code challenge U from eigendecomposition of A^TA.vtt |
14.28KB |
5. Code challenge Visualize the normalized quadratic form.mp4 |
94.03MB |
5. Code challenge Visualize the normalized quadratic form.vtt |
16.02KB |
5. Determinant of a 3x3 matrix.mp4 |
63.26MB |
5. Determinant of a 3x3 matrix.vtt |
15.40KB |
5. Echelon form and pivots.mp4 |
29.30MB |
5. Echelon form and pivots.vtt |
8.48KB |
5. Least-squares via row-reduction.mp4 |
54.07MB |
5. Least-squares via row-reduction.vtt |
13.01KB |
5. Leaving reviews, course coupons.mp4 |
17.84MB |
5. Leaving reviews, course coupons.vtt |
2.85KB |
5. Matrix multiplication with a diagonal matrix.mp4 |
18.55MB |
5. Matrix multiplication with a diagonal matrix.vtt |
4.33KB |
5. Null space and left null space of a matrix.mp4 |
61.81MB |
5. Null space and left null space of a matrix.mp4.jpg |
59.66KB |
5. Null space and left null space of a matrix.txt |
250B |
5. Null space and left null space of a matrix.vtt |
15.83KB |
5. Rank of added and multiplied matrices.mp4 |
58.88MB |
5. Rank of added and multiplied matrices.vtt |
12.65KB |
5. The MCA algorithm to compute the inverse.mp4 |
64.27MB |
5. The MCA algorithm to compute the inverse.vtt |
15.90KB |
5. Vector-vector multiplication the dot product.mp4 |
32.38MB |
5. Vector-vector multiplication the dot product.vtt |
8.47KB |
6. Code challenge A^TA, Av, and singular vectors.mp4 |
51.43MB |
6. Code challenge A^TA, Av, and singular vectors.vtt |
12.59KB |
6. Code challenge eigenvalues of random matrices.mp4 |
62.78MB |
6. Code challenge eigenvalues of random matrices.vtt |
10.85KB |
6. Code challenge Implement the MCA algorithm!!.mp4 |
72.20MB |
6. Code challenge Implement the MCA algorithm!!.vtt |
17.16KB |
6. Code challenge large matrices with row exchanges.mp4 |
17.72MB |
6. Code challenge large matrices with row exchanges.vtt |
5.61KB |
6. Columnleft-null and rownull spaces are orthogonal.mp4 |
49.34MB |
6. Columnleft-null and rownull spaces are orthogonal.vtt |
11.96KB |
6. Dot product properties associative, distributive, commutative.mp4 |
57.32MB |
6. Dot product properties associative, distributive, commutative.vtt |
14.65KB |
6. Eigenvectors and the quadratic form surface.mp4 |
24.94MB |
6. Eigenvectors and the quadratic form surface.vtt |
4.06KB |
6. Matrix addition and subtraction.mp4 |
27.07MB |
6. Matrix addition and subtraction.vtt |
6.75KB |
6. Model-predicted values and residuals.mp4 |
34.37MB |
6. Model-predicted values and residuals.vtt |
7.61KB |
6. Order-of-operations on matrices.mp4 |
36.81MB |
6. Order-of-operations on matrices.vtt |
7.28KB |
6. Orthogonal matrices.mp4 |
43.88MB |
6. Orthogonal matrices.vtt |
13.10KB |
6. Reduced row echelon form.mp4 |
79.21MB |
6. Reduced row echelon form.vtt |
19.55KB |
6. Using the Q&A forum.mp4 |
26.80MB |
6. Using the Q&A forum.vtt |
6.52KB |
6. What's the maximum possible rank.html |
144B |
7. Application of the normalized quadratic form PCA.mp4 |
126.33MB |
7. Application of the normalized quadratic form PCA.vtt |
19.82KB |
7. Code challenge dot products with matrix columns.mp4 |
23.05MB |
7. Code challenge dot products with matrix columns.vtt |
7.95KB |
7. Code challenge reduced-rank matrix via multiplication.mp4 |
34.47MB |
7. Code challenge reduced-rank matrix via multiplication.vtt |
8.80KB |
7. Code challenge RREF of matrices with different sizes and ranks.mp4 |
50.71MB |
7. Code challenge RREF of matrices with different sizes and ranks.vtt |
13.40KB |
7. Computing the inverse via row reduction.mp4 |
56.13MB |
7. Computing the inverse via row reduction.vtt |
13.35KB |
7. Dimensions of columnrownull spaces.mp4 |
39.90MB |
7. Dimensions of columnrownull spaces.vtt |
9.11KB |
7. Finding eigenvectors.mp4 |
56.89MB |
7. Finding eigenvectors.vtt |
13.24KB |
7. Find matrix values for a given determinant.mp4 |
21.51MB |
7. Find matrix values for a given determinant.vtt |
5.80KB |
7. Gram-Schmidt procedure.mp4 |
50.73MB |
7. Gram-Schmidt procedure.vtt |
15.16KB |
7. Least-squares application 1.mp4 |
75.92MB |
7. Least-squares application 1.vtt |
13.94KB |
7. Matrix-scalar multiplication.mp4 |
7.96MB |
7. Matrix-scalar multiplication.vtt |
1.85KB |
7. Matrix-vector multiplication.mp4 |
75.83MB |
7. Matrix-vector multiplication.vtt |
16.98KB |
7. SVD and the four subspaces.mp4 |
37.16MB |
7. SVD and the four subspaces.vtt |
8.00KB |
8. Code challenge determinant of shifted matrices.mp4 |
76.13MB |
8. Code challenge determinant of shifted matrices.vtt |
15.73KB |
8. Code challenge inverse of a diagonal matrix.mp4 |
37.27MB |
8. Code challenge inverse of a diagonal matrix.vtt |
9.47KB |
8. Code challenge is matrix-scalar multiplication a linear operation.mp4 |
25.27MB |
8. Code challenge is matrix-scalar multiplication a linear operation.vtt |
6.24KB |
8. Code challenge scalar multiplication and rank.mp4 |
55.71MB |
8. Code challenge scalar multiplication and rank.vtt |
15.00KB |
8. Eigendecomposition by hand two examples.mp4 |
46.60MB |
8. Eigendecomposition by hand two examples.vtt |
10.86KB |
8. Example of the four subspaces.mp4 |
50.95MB |
8. Example of the four subspaces.vtt |
13.30KB |
8. Find the missing value!.html |
144B |
8. Least-squares application 2.mp4 |
145.91MB |
8. Least-squares application 2.vtt |
21.69KB |
8. Matrix spaces after row reduction.mp4 |
45.73MB |
8. Matrix spaces after row reduction.vtt |
10.57KB |
8. QR decomposition.mp4 |
69.04MB |
8. QR decomposition.mp4.jpg |
54.34KB |
8. QR decomposition.txt |
224B |
8. QR decomposition.vtt |
14.13KB |
8. Quadratic form of generalized eigendecomposition.mp4 |
64.05MB |
8. Quadratic form of generalized eigendecomposition.vtt |
10.71KB |
8. Spectral theory of matrices.mp4 |
121.41MB |
8. Spectral theory of matrices.vtt |
15.53KB |
8. Vector length.mp4 |
23.81MB |
8. Vector length.vtt |
6.53KB |
9. 2D transformation matrices.mp4 |
52.49MB |
9. 2D transformation matrices.vtt |
13.33KB |
9. Code challenge Gram-Schmidt algorithm.mp4 |
63.93MB |
9. Code challenge Gram-Schmidt algorithm.vtt |
15.46KB |
9. Code challenge Least-squares via QR decomposition.mp4 |
29.28MB |
9. Code challenge Least-squares via QR decomposition.vtt |
8.25KB |
9. Diagonalization.mp4 |
49.66MB |
9. Diagonalization.vtt |
11.42KB |
9. Left inverse and right inverse.mp4 |
41.56MB |
9. Left inverse and right inverse.vtt |
10.53KB |
9. Matrix definiteness, geometry, and eigenvalues.mp4 |
63.08MB |
9. Matrix definiteness, geometry, and eigenvalues.vtt |
10.84KB |
9. More on Ax=b and Ax=0.mp4 |
34.01MB |
9. More on Ax=b and Ax=0.vtt |
8.13KB |
9. Rank of A^TA and AA^T.mp4 |
45.03MB |
9. Rank of A^TA and AA^T.vtt |
11.71KB |
9. SVD for low-rank approximations.mp4 |
73.91MB |
9. SVD for low-rank approximations.vtt |
13.01KB |
9. Transpose.mp4 |
31.32MB |
9. Transpose.vtt |
7.54KB |
9. Vector length in MATLAB.html |
144B |