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1.1 linalg_eig.zip.zip 297.22Кб
1.1 linalg_inverse.zip.zip 226.13Кб
1.1 linalg_leastsquares.zip.zip 315.41Кб
1.1 linalg_matrices.zip.zip 166.28Кб
1.1 linalg_matrixDet.pdf.pdf 138.29Кб
1.1 linalg_matrixMult.zip.zip 214.72Кб
1.1 linalg_matrixRank.zip.zip 179.67Кб
1.1 linalg_matrixSpaces.zip.zip 209.95Кб
1.1 linalg_projorth.zip.zip 246.46Кб
1.1 linalg_quadformDefinite.zip.zip 395.50Кб
1.1 linalg_svd.zip.zip 330.96Кб
1.1 linalg_systems.zip.zip 211.22Кб
1.1 linalg_vectors.zip.zip 385.88Кб
1. Bonus Links to related courses.html 2.27Кб
1. Exercises.html 52б
1. Exercises + code.html 76б
1. Exercises + code.html 86б
1. Exercises + code.html 33б
1. Exercises + code.html 26б
1. Exercises + code.html 55б
1. Exercises + code.html 80б
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1. Exercises + code.html 87б
1. Exercises + code.html 85б
1. Exercises + code.html 36б
1. Exercises + code.html 40б
1. Exercises + code.html 85б
1. What is linear algebra.mp4 50.15Мб
1. What is linear algebra.vtt 9.14Кб
10. Code challenge Pure and impure rotation matrices.mp4 65.02Мб
10. Code challenge Pure and impure rotation matrices.vtt 12.15Кб
10. Code challenge rank of multiplied and summed matrices.mp4 29.96Мб
10. Code challenge rank of multiplied and summed matrices.vtt 7.56Кб
10. Complex matrices.mp4 6.76Мб
10. Complex matrices.vtt 2.15Кб
10. Convert singular values to percent variance.mp4 58.38Мб
10. Convert singular values to percent variance.vtt 12.85Кб
10. Dot product geometry sign and orthogonality.mp4 76.84Мб
10. Dot product geometry sign and orthogonality.vtt 17.99Кб
10. Matrix inverse via QR decomposition.mp4 7.08Мб
10. Matrix inverse via QR decomposition.vtt 1.91Кб
10. Matrix powers via diagonalization.mp4 85.67Мб
10. Matrix powers via diagonalization.vtt 16.43Кб
10. One-sided inverses in MATLAB.mp4 45.07Мб
10. One-sided inverses in MATLAB.vtt 7.45Кб
10. Proof A^TA is always positive (semi)definite.mp4 30.70Мб
10. Proof A^TA is always positive (semi)definite.vtt 7.62Кб
11. Addition, equality, and transpose.html 144б
11. Code challenge eigendecomposition of matrix differences.mp4 48.54Мб
11. Code challenge eigendecomposition of matrix differences.vtt 11.81Кб
11. Code challenge Geometric transformations via matrix multiplications.mp4 79.10Мб
11. Code challenge Geometric transformations via matrix multiplications.vtt 15.80Кб
11. Code challenge Inverse via QR.mp4 72.49Мб
11. Code challenge Inverse via QR.vtt 9.01Кб
11. Code challenge When is UV^T valid, what is its norm, and is it orthogonal.mp4 28.83Мб
11. Code challenge When is UV^T valid, what is its norm, and is it orthogonal.vtt 6.97Кб
11. Making a matrix full-rank by shifting.mp4 59.90Мб
11. Making a matrix full-rank by shifting.vtt 12.20Кб
11. Proof Eigenvalues and matrix definiteness.mp4 45.54Мб
11. Proof Eigenvalues and matrix definiteness.vtt 8.87Кб
11. Proof the inverse is unique.mp4 16.45Мб
11. Proof the inverse is unique.vtt 3.46Кб
11. Vector orthogonality.html 144б
12. Additive and multiplicative matrix identities.mp4 25.26Мб
12. Additive and multiplicative matrix identities.vtt 5.73Кб
12. Code challenge is this vector in the span of this set.mp4 24.39Мб
12. Code challenge is this vector in the span of this set.vtt 7.96Кб
12. Code challenge Prove and demonstrate the Sherman-Morrison inverse.mp4 55.69Мб
12. Code challenge Prove and demonstrate the Sherman-Morrison inverse.vtt 15.58Кб
12. Diagonal and trace.mp4 27.24Мб
12. Diagonal and trace.vtt 6.52Кб
12. Eigenvectors of distinct eigenvalues.mp4 41.53Мб
12. Eigenvectors of distinct eigenvalues.vtt 9.01Кб
12. Pseudo-inverse, part 1.mp4 54.50Мб
12. Pseudo-inverse, part 1.vtt 9.67Кб
12. Relative vector angles.html 144б
12. Singular values of an orthogonal matrix.html 144б
13. Additive and multiplicative symmetric matrices.mp4 54.22Мб
13. Additive and multiplicative symmetric matrices.vtt 13.24Кб
13. Code challenge A^TA = R^TR.mp4 21.93Мб
13. Code challenge A^TA = R^TR.vtt 4.81Кб
13. Code challenge dot product sign and scalar multiplication.mp4 44.80Мб
13. Code challenge dot product sign and scalar multiplication.vtt 13.04Кб
13. Code challenge linearity of trace.mp4 36.24Мб
13. Code challenge linearity of trace.vtt 9.78Кб
13. Code challenge pseudoinverse of invertible matrices.mp4 19.32Мб
13. Code challenge pseudoinverse of invertible matrices.vtt 4.88Кб
13. Eigenvectors of repeated eigenvalues.mp4 47.92Мб
13. Eigenvectors of repeated eigenvalues.vtt 11.72Кб
13. SVD, matrix inverse, and pseudoinverse.mp4 44.68Мб
13. SVD, matrix inverse, and pseudoinverse.vtt 10.23Кб
14. Code challenge is the dot product commutative.mp4 27.52Мб
14. Code challenge is the dot product commutative.vtt 8.42Кб
14. Condition number of a matrix.mp4 42.41Мб
14. Condition number of a matrix.vtt 9.74Кб
14. Eigendecomposition of symmetric matrices.mp4 60.44Мб
14. Eigendecomposition of symmetric matrices.vtt 13.08Кб
14. Hadamard (element-wise) multiplication.mp4 11.93Мб
14. Hadamard (element-wise) multiplication.vtt 2.90Кб
15. Code challenge Create matrix with desired condition number.mp4 72.32Мб
15. Code challenge Create matrix with desired condition number.vtt 14.04Кб
15. Eigenlayers of a matrix.mp4 24.75Мб
15. Eigenlayers of a matrix.vtt 6.44Кб
15. Matrix operation equality.html 144б
15. Vector Hadamard multiplication.mp4 12.14Мб
15. Vector Hadamard multiplication.vtt 2.75Кб
16. Code challenge reconstruct a matrix from eigenlayers.mp4 49.85Мб
16. Code challenge reconstruct a matrix from eigenlayers.vtt 11.79Кб
16. Code challenge symmetry of combined symmetric matrices.mp4 34.19Мб
16. Code challenge symmetry of combined symmetric matrices.vtt 9.29Кб
16. Outer product.mp4 42.02Мб
16. Outer product.vtt 9.57Кб
17. Eigendecomposition of singular matrices.mp4 20.06Мб
17. Eigendecomposition of singular matrices.vtt 5.47Кб
17. Multiplication of two symmetric matrices.mp4 49.74Мб
17. Multiplication of two symmetric matrices.vtt 11.20Кб
17. Vector cross product.mp4 44.38Мб
17. Vector cross product.vtt 7.55Кб
18. Code challenge standard and Hadamard multiplication for diagonal matrices.mp4 19.94Мб
18. Code challenge standard and Hadamard multiplication for diagonal matrices.vtt 5.71Кб
18. Code challenge trace and determinant, eigenvalues sum and product.mp4 33.04Мб
18. Code challenge trace and determinant, eigenvalues sum and product.vtt 9.69Кб
18. Vectors with complex numbers.mp4 32.88Мб
18. Vectors with complex numbers.vtt 9.15Кб
19. Code challenge Fourier transform via matrix multiplication!.mp4 47.83Мб
19. Code challenge Fourier transform via matrix multiplication!.vtt 11.75Кб
19. Generalized eigendecomposition.mp4 45.27Мб
19. Generalized eigendecomposition.vtt 10.10Кб
19. Hermitian transpose (a.k.a. conjugate transpose).mp4 55.50Мб
19. Hermitian transpose (a.k.a. conjugate transpose).vtt 13.66Кб
2. Algebraic and geometric interpretations of vectors.mp4 40.69Мб
2. Algebraic and geometric interpretations of vectors.vtt 10.89Кб
2. Column space of a matrix.mp4 55.61Мб
2. Column space of a matrix.vtt 14.41Кб
2. Determinant concept and applications.mp4 33.76Мб
2. Determinant concept and applications.vtt 7.21Кб
2. Introduction to least-squares.mp4 80.55Мб
2. Introduction to least-squares.vtt 14.93Кб
2. Introduction to standard matrix multiplication.mp4 37.79Мб
2. Introduction to standard matrix multiplication.vtt 9.31Кб
2. Linear algebra applications.mp4 29.58Мб
2. Linear algebra applications.vtt 6.85Кб
2. Matrix inverse Concept and applications.mp4 48.79Мб
2. Matrix inverse Concept and applications.vtt 14.36Кб
2. Matrix terminology and dimensionality.mp4 32.58Мб
2. Matrix terminology and dimensionality.vtt 8.96Кб
2. Projections in R^2.mp4 36.88Мб
2. Projections in R^2.vtt 9.62Кб
2. Rank concepts, terms, and applications.mp4 48.93Мб
2. Rank concepts, terms, and applications.vtt 12.18Кб
2. Singular value decomposition (SVD).mp4 70.93Мб
2. Singular value decomposition (SVD).vtt 15.72Кб
2. Systems of equations algebra and geometry.mp4 84.61Мб
2. Systems of equations algebra and geometry.vtt 17.74Кб
2. The quadratic form in algebra.mp4 46.50Мб
2. The quadratic form in algebra.vtt 12.09Кб
2. What are eigenvalues and eigenvectors.mp4 63.49Мб
2. What are eigenvalues and eigenvectors.vtt 13.99Кб
20. Code challenge GED in small and large matrices.mp4 72.37Мб
20. Code challenge GED in small and large matrices.vtt 14.93Кб
20. Frobenius dot product.mp4 45.14Мб
20. Frobenius dot product.vtt 9.38Кб
20. Interpreting and creating unit vectors.mp4 26.54Мб
20. Interpreting and creating unit vectors.vtt 6.15Кб
21. Code challenge dot products with unit vectors.mp4 44.88Мб
21. Code challenge dot products with unit vectors.vtt 11.79Кб
21. What about matrix division.mp4 14.08Мб
21. What about matrix division.vtt 4.85Кб
22. Dimensions and fields in linear algebra.mp4 38.73Мб
22. Dimensions and fields in linear algebra.vtt 8.81Кб
23. Subspaces.mp4 69.59Мб
23. Subspaces.vtt 16.98Кб
24. Subspaces vs. subsets.mp4 29.05Мб
24. Subspaces vs. subsets.vtt 6.17Кб
25. Span.mp4 59.92Мб
25. Span.vtt 12.54Кб
26. In the span.html 144б
27. Linear independence.mp4 75.68Мб
27. Linear independence.vtt 17.58Кб
28. Basis.mp4 50.94Мб
28. Basis.vtt 12.85Кб
3. Are these two expressions equal.html 144б
3. Column space, visualized in MATLAB.mp4 28.04Мб
3. Column space, visualized in MATLAB.vtt 4.22Кб
3. Computing the inverse in MATLAB.mp4 18.88Мб
3. Computing the inverse in MATLAB.vtt 3.78Кб
3. Converting systems of equations to matrix equations.mp4 20.98Мб
3. Converting systems of equations to matrix equations.vtt 5.10Кб
3. Determinant of a 2x2 matrix.mp4 27.36Мб
3. Determinant of a 2x2 matrix.vtt 8.10Кб
3. Finding eigenvalues.mp4 70.05Мб
3. Finding eigenvalues.vtt 17.20Кб
3. Four ways to think about matrix multiplication.mp4 50.62Мб
3. Four ways to think about matrix multiplication.vtt 13.12Кб
3. How best to learn from this course.mp4 26.98Мб
3. How best to learn from this course.vtt 5.21Кб
3. Least-squares via left inverse.mp4 44.38Мб
3. Least-squares via left inverse.vtt 10.68Кб
3. Matrix sizes and dimensionality.html 144б
3. Maximum possible rank..html 144б
3. Projections in R^N.mp4 52.71Мб
3. Projections in R^N.vtt 11.47Кб
3. The quadratic form in geometry.mp4 55.22Мб
3. The quadratic form in geometry.vtt 12.37Кб
3. Vector addition and subtraction.mp4 25.82Мб
3. Vector addition and subtraction.vtt 6.89Кб
4. A zoo of matrices.mp4 55.12Мб
4. A zoo of matrices.vtt 12.98Кб
4. Code challenge determinant of small and large singular matrices.mp4 38.72Мб
4. Code challenge determinant of small and large singular matrices.vtt 10.25Кб
4. Code challenge matrix multiplication by layering.mp4 35.63Мб
4. Code challenge matrix multiplication by layering.vtt 9.25Кб
4. Code challenge SVD vs. eigendecomposition for square symmetric matrices.mp4 82.88Мб
4. Code challenge SVD vs. eigendecomposition for square symmetric matrices.vtt 16.96Кб
4. Computing rank theory and practice.mp4 90.32Мб
4. Computing rank theory and practice.vtt 19.04Кб
4. Gaussian elimination.mp4 63.49Мб
4. Gaussian elimination.vtt 18.10Кб
4. Inverse of a 2x2 matrix.mp4 38.90Мб
4. Inverse of a 2x2 matrix.vtt 8.94Кб
4. Least-squares via orthogonal projection.mp4 42.43Мб
4. Least-squares via orthogonal projection.vtt 9.95Кб
4. Orthogonal and parallel vector components.mp4 57.27Мб
4. Orthogonal and parallel vector components.txt 249б
4. Orthogonal and parallel vector components.vtt 14.13Кб
4. Row space of a matrix.mp4 23.45Мб
4. Row space of a matrix.vtt 4.76Кб
4. Shortcut for eigenvalues of a 2x2 matrix.mp4 12.61Мб
4. Shortcut for eigenvalues of a 2x2 matrix.vtt 3.01Кб
4. The normalized quadratic form.mp4 31.25Мб
4. The normalized quadratic form.vtt 7.27Кб
4. Using MATLAB, Octave, or Python in this course.mp4 21.20Мб
4. Using MATLAB, Octave, or Python in this course.vtt 4.59Кб
4. Vector-scalar multiplication.mp4 29.42Мб
4. Vector-scalar multiplication.vtt 7.58Кб
5. Can the matrices be concatenated.html 144б
5. Code challenge decompose vector to orthogonal components.mp4 59.03Мб
5. Code challenge decompose vector to orthogonal components.vtt 12.81Кб
5. Code challenge eigenvalues of diagonal and triangular matrices.mp4 33.88Мб
5. Code challenge eigenvalues of diagonal and triangular matrices.vtt 9.45Кб
5. Code challenge U from eigendecomposition of A^TA.mp4 67.23Мб
5. Code challenge U from eigendecomposition of A^TA.vtt 14.28Кб
5. Code challenge Visualize the normalized quadratic form.mp4 94.03Мб
5. Code challenge Visualize the normalized quadratic form.vtt 16.02Кб
5. Determinant of a 3x3 matrix.mp4 63.26Мб
5. Determinant of a 3x3 matrix.vtt 15.40Кб
5. Echelon form and pivots.mp4 29.30Мб
5. Echelon form and pivots.vtt 8.48Кб
5. Least-squares via row-reduction.mp4 54.07Мб
5. Least-squares via row-reduction.vtt 13.01Кб
5. Leaving reviews, course coupons.mp4 17.84Мб
5. Leaving reviews, course coupons.vtt 2.85Кб
5. Matrix multiplication with a diagonal matrix.mp4 18.55Мб
5. Matrix multiplication with a diagonal matrix.vtt 4.33Кб
5. Null space and left null space of a matrix.mp4 61.81Мб
5. Null space and left null space of a matrix.mp4.jpg 59.66Кб
5. Null space and left null space of a matrix.txt 250б
5. Null space and left null space of a matrix.vtt 15.83Кб
5. Rank of added and multiplied matrices.mp4 58.88Мб
5. Rank of added and multiplied matrices.vtt 12.65Кб
5. The MCA algorithm to compute the inverse.mp4 64.27Мб
5. The MCA algorithm to compute the inverse.vtt 15.90Кб
5. Vector-vector multiplication the dot product.mp4 32.38Мб
5. Vector-vector multiplication the dot product.vtt 8.47Кб
6. Code challenge A^TA, Av, and singular vectors.mp4 51.43Мб
6. Code challenge A^TA, Av, and singular vectors.vtt 12.59Кб
6. Code challenge eigenvalues of random matrices.mp4 62.78Мб
6. Code challenge eigenvalues of random matrices.vtt 10.85Кб
6. Code challenge Implement the MCA algorithm!!.mp4 72.20Мб
6. Code challenge Implement the MCA algorithm!!.vtt 17.16Кб
6. Code challenge large matrices with row exchanges.mp4 17.72Мб
6. Code challenge large matrices with row exchanges.vtt 5.61Кб
6. Columnleft-null and rownull spaces are orthogonal.mp4 49.34Мб
6. Columnleft-null and rownull spaces are orthogonal.vtt 11.96Кб
6. Dot product properties associative, distributive, commutative.mp4 57.32Мб
6. Dot product properties associative, distributive, commutative.vtt 14.65Кб
6. Eigenvectors and the quadratic form surface.mp4 24.94Мб
6. Eigenvectors and the quadratic form surface.vtt 4.06Кб
6. Matrix addition and subtraction.mp4 27.07Мб
6. Matrix addition and subtraction.vtt 6.75Кб
6. Model-predicted values and residuals.mp4 34.37Мб
6. Model-predicted values and residuals.vtt 7.61Кб
6. Order-of-operations on matrices.mp4 36.81Мб
6. Order-of-operations on matrices.vtt 7.28Кб
6. Orthogonal matrices.mp4 43.88Мб
6. Orthogonal matrices.vtt 13.10Кб
6. Reduced row echelon form.mp4 79.21Мб
6. Reduced row echelon form.vtt 19.55Кб
6. Using the Q&A forum.mp4 26.80Мб
6. Using the Q&A forum.vtt 6.52Кб
6. What's the maximum possible rank.html 144б
7. Application of the normalized quadratic form PCA.mp4 126.33Мб
7. Application of the normalized quadratic form PCA.vtt 19.82Кб
7. Code challenge dot products with matrix columns.mp4 23.05Мб
7. Code challenge dot products with matrix columns.vtt 7.95Кб
7. Code challenge reduced-rank matrix via multiplication.mp4 34.47Мб
7. Code challenge reduced-rank matrix via multiplication.vtt 8.80Кб
7. Code challenge RREF of matrices with different sizes and ranks.mp4 50.71Мб
7. Code challenge RREF of matrices with different sizes and ranks.vtt 13.40Кб
7. Computing the inverse via row reduction.mp4 56.13Мб
7. Computing the inverse via row reduction.vtt 13.35Кб
7. Dimensions of columnrownull spaces.mp4 39.90Мб
7. Dimensions of columnrownull spaces.vtt 9.11Кб
7. Finding eigenvectors.mp4 56.89Мб
7. Finding eigenvectors.vtt 13.24Кб
7. Find matrix values for a given determinant.mp4 21.51Мб
7. Find matrix values for a given determinant.vtt 5.80Кб
7. Gram-Schmidt procedure.mp4 50.73Мб
7. Gram-Schmidt procedure.vtt 15.16Кб
7. Least-squares application 1.mp4 75.92Мб
7. Least-squares application 1.vtt 13.94Кб
7. Matrix-scalar multiplication.mp4 7.96Мб
7. Matrix-scalar multiplication.vtt 1.85Кб
7. Matrix-vector multiplication.mp4 75.83Мб
7. Matrix-vector multiplication.vtt 16.98Кб
7. SVD and the four subspaces.mp4 37.16Мб
7. SVD and the four subspaces.vtt 8.00Кб
8. Code challenge determinant of shifted matrices.mp4 76.13Мб
8. Code challenge determinant of shifted matrices.vtt 15.73Кб
8. Code challenge inverse of a diagonal matrix.mp4 37.27Мб
8. Code challenge inverse of a diagonal matrix.vtt 9.47Кб
8. Code challenge is matrix-scalar multiplication a linear operation.mp4 25.27Мб
8. Code challenge is matrix-scalar multiplication a linear operation.vtt 6.24Кб
8. Code challenge scalar multiplication and rank.mp4 55.71Мб
8. Code challenge scalar multiplication and rank.vtt 15.00Кб
8. Eigendecomposition by hand two examples.mp4 46.60Мб
8. Eigendecomposition by hand two examples.vtt 10.86Кб
8. Example of the four subspaces.mp4 50.95Мб
8. Example of the four subspaces.vtt 13.30Кб
8. Find the missing value!.html 144б
8. Least-squares application 2.mp4 145.91Мб
8. Least-squares application 2.vtt 21.69Кб
8. Matrix spaces after row reduction.mp4 45.73Мб
8. Matrix spaces after row reduction.vtt 10.57Кб
8. QR decomposition.mp4 69.04Мб
8. QR decomposition.mp4.jpg 54.34Кб
8. QR decomposition.txt 224б
8. QR decomposition.vtt 14.13Кб
8. Quadratic form of generalized eigendecomposition.mp4 64.05Мб
8. Quadratic form of generalized eigendecomposition.vtt 10.71Кб
8. Spectral theory of matrices.mp4 121.41Мб
8. Spectral theory of matrices.vtt 15.53Кб
8. Vector length.mp4 23.81Мб
8. Vector length.vtt 6.53Кб
9. 2D transformation matrices.mp4 52.49Мб
9. 2D transformation matrices.vtt 13.33Кб
9. Code challenge Gram-Schmidt algorithm.mp4 63.93Мб
9. Code challenge Gram-Schmidt algorithm.vtt 15.46Кб
9. Code challenge Least-squares via QR decomposition.mp4 29.28Мб
9. Code challenge Least-squares via QR decomposition.vtt 8.25Кб
9. Diagonalization.mp4 49.66Мб
9. Diagonalization.vtt 11.42Кб
9. Left inverse and right inverse.mp4 41.56Мб
9. Left inverse and right inverse.vtt 10.53Кб
9. Matrix definiteness, geometry, and eigenvalues.mp4 63.08Мб
9. Matrix definiteness, geometry, and eigenvalues.vtt 10.84Кб
9. More on Ax=b and Ax=0.mp4 34.01Мб
9. More on Ax=b and Ax=0.vtt 8.13Кб
9. Rank of A^TA and AA^T.mp4 45.03Мб
9. Rank of A^TA and AA^T.vtt 11.71Кб
9. SVD for low-rank approximations.mp4 73.91Мб
9. SVD for low-rank approximations.vtt 13.01Кб
9. Transpose.mp4 31.32Мб
9. Transpose.vtt 7.54Кб
9. Vector length in MATLAB.html 144б
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