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[FTUForum.com] Udemy - Complete linear algebra theory and implementation
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2019-5-1 11:17
2024-8-14 16:54
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FTUForum
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Udemy
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Complete
linear
algebra
theory
and
implementation
文件列表
1. Introductions/1. What is linear algebra.mp4
64.83MB
1. Introductions/2. Linear algebra applications.mp4
29.58MB
1. Introductions/3. How best to learn from this course.mp4
26.98MB
1. Introductions/4. Using MATLAB, Octave, or Python in this course.mp4
21.2MB
1. Introductions/5. Leaving reviews, course coupons.mp4
17.84MB
10. Projections and orthogonalization/2. Projections in R^2.mp4
52.35MB
10. Projections and orthogonalization/3. Projections in R^N.mp4
75.55MB
10. Projections and orthogonalization/4. Orthogonal and parallel vector components.mp4
47.44MB
10. Projections and orthogonalization/5. Code challenge decompose vector to orthogonal components.mp4
47.57MB
10. Projections and orthogonalization/6. Orthogonal matrices.mp4
55.44MB
10. Projections and orthogonalization/7. Gram-Schmidt and QR decomposition.mp4
67.62MB
10. Projections and orthogonalization/8. Matrix inverse via QR decomposition.mp4
13.39MB
10. Projections and orthogonalization/9. Code challenge Inverse via QR.mp4
47.85MB
11. Least-squares for model-fitting in statistics/2. Introduction to least-squares.mp4
106.77MB
11. Least-squares for model-fitting in statistics/3. Least-squares via left inverse.mp4
49.1MB
11. Least-squares for model-fitting in statistics/4. Least-squares via orthogonal projection.mp4
34.74MB
11. Least-squares for model-fitting in statistics/5. Least-squares via row-reduction.mp4
46.89MB
11. Least-squares for model-fitting in statistics/6. Model-predicted values and residuals.mp4
30.92MB
11. Least-squares for model-fitting in statistics/7. Least-squares application 1.mp4
81.33MB
11. Least-squares for model-fitting in statistics/8. Least-squares application 2.mp4
133.29MB
12. Eigendecomposition/10. Matrix powers via diagonalization.mp4
99.58MB
12. Eigendecomposition/11. Eigenvectors of distinct eigenvalues.mp4
55.81MB
12. Eigendecomposition/12. Eigenvectors of repeated eigenvalues.mp4
64.79MB
12. Eigendecomposition/13. Eigendecomposition of symmetric matrices.mp4
73.79MB
12. Eigendecomposition/14. Eigendecomposition of singular matrices.mp4
15.75MB
12. Eigendecomposition/15. Code challenge trace and determinant, eigenvalues sum and product.mp4
24.12MB
12. Eigendecomposition/16. Generalized eigendecomposition.mp4
61.91MB
12. Eigendecomposition/2. What are eigenvalues and eigenvectors.mp4
85.51MB
12. Eigendecomposition/3. Finding eigenvalues.mp4
73.11MB
12. Eigendecomposition/4. Shortcut for eigenvalues of a 2x2 matrix.mp4
8.63MB
12. Eigendecomposition/5. Code challenge eigenvalues of diagonal and triangular matrices.mp4
25.62MB
12. Eigendecomposition/6. Code challenge eigenvalues of random matrices.mp4
39.64MB
12. Eigendecomposition/7. Finding eigenvectors.mp4
64.81MB
12. Eigendecomposition/8. Eigendecomposition by hand two examples.mp4
51.82MB
12. Eigendecomposition/9. Diagonalization.mp4
47.37MB
13. Singular value decomposition/10. Code challenge Create matrix with desired condition number.mp4
78.72MB
13. Singular value decomposition/2. Singular value decomposition (SVD).mp4
74.4MB
13. Singular value decomposition/3. Code challenge SVD vs. eigendecomposition for square symmetric matrices.mp4
79.2MB
13. Singular value decomposition/4. SVD and the four subspaces.mp4
37.52MB
13. Singular value decomposition/5. Spectral theory of matrices.mp4
116.58MB
13. Singular value decomposition/6. SVD for low-rank approximations.mp4
67.66MB
13. Singular value decomposition/7. Convert singular values to percent variance.mp4
72.94MB
13. Singular value decomposition/8. SVD, matrix inverse, and pseudoinverse.mp4
49.77MB
13. Singular value decomposition/9. Condition number of a matrix.mp4
52.99MB
14. Quadratic form and definiteness/10. Proof A^TA is always positive (semi)definite.mp4
31.34MB
14. Quadratic form and definiteness/2. The quadratic form in algebra.mp4
65.98MB
14. Quadratic form and definiteness/3. The quadratic form in geometry.mp4
64.71MB
14. Quadratic form and definiteness/4. The normalized quadratic form.mp4
31.77MB
14. Quadratic form and definiteness/5. Code challenge Visualize the normalized quadratic form.mp4
81.33MB
14. Quadratic form and definiteness/6. Eigenvectors and the quadratic form surface.mp4
45.26MB
14. Quadratic form and definiteness/7. Application of the normalized quadratic form PCA.mp4
130.97MB
14. Quadratic form and definiteness/8. Quadratic form of generalized eigendecomposition.mp4
65.29MB
14. Quadratic form and definiteness/9. Matrix definiteness, geometry, and eigenvalues.mp4
53.06MB
2. Vectors/12. Code challenge dot product sign and scalar multiplication.mp4
44.81MB
2. Vectors/13. Code challenge is the dot product commutative.mp4
27.52MB
2. Vectors/14. Vector Hadamard multiplication.mp4
12.14MB
2. Vectors/15. Outer product.mp4
42.03MB
2. Vectors/16. Vector cross product.mp4
44.38MB
2. Vectors/17. Vectors with complex numbers.mp4
32.89MB
2. Vectors/18. Hermitian transpose (a.k.a. conjugate transpose).mp4
55.5MB
2. Vectors/19. Interpreting and creating unit vectors.mp4
26.54MB
2. Vectors/2. Algebraic and geometric interpretations of vectors.mp4
47.98MB
2. Vectors/20. Code challenge dot products with unit vectors.mp4
44.88MB
2. Vectors/21. Dimensions and fields in linear algebra.mp4
38.74MB
2. Vectors/22. Subspaces.mp4
69.59MB
2. Vectors/23. Subspaces vs. subsets.mp4
29.06MB
2. Vectors/24. Span.mp4
59.92MB
2. Vectors/26. Linear independence.mp4
75.69MB
2. Vectors/27. Basis.mp4
50.94MB
2. Vectors/3. Vector addition and subtraction.mp4
25.82MB
2. Vectors/4. Vector-scalar multiplication.mp4
29.42MB
2. Vectors/5. Vector-vector multiplication the dot product.mp4
32.38MB
2. Vectors/6. Code challenge dot products with matrix columns.mp4
23.05MB
2. Vectors/7. Vector length.mp4
23.82MB
2. Vectors/9. Dot product geometry sign and orthogonality.mp4
77.18MB
3. Introduction to matrices/10. Complex matrices.mp4
6.77MB
3. Introduction to matrices/12. Diagonal and trace.mp4
27.24MB
3. Introduction to matrices/13. Code challenge linearity of trace.mp4
36.24MB
3. Introduction to matrices/2. Matrix terminology and dimensionality.mp4
40.84MB
3. Introduction to matrices/4. A zoo of matrices.mp4
55.12MB
3. Introduction to matrices/6. Matrix addition and subtraction.mp4
27.07MB
3. Introduction to matrices/7. Matrix-scalar multiplication.mp4
7.97MB
3. Introduction to matrices/8. Code challenge is matrix-scalar multiplication a linear operation.mp4
25.27MB
3. Introduction to matrices/9. Transpose.mp4
31.32MB
4. Matrix multiplications/10. Code challenge Pure and impure rotation matrices.mp4
65.02MB
4. Matrix multiplications/11. Additive and multiplicative matrix identities.mp4
25.26MB
4. Matrix multiplications/12. Additive and multiplicative symmetric matrices.mp4
54.23MB
4. Matrix multiplications/13. Hadamard (element-wise) multiplication.mp4
11.93MB
4. Matrix multiplications/15. Code challenge symmetry of combined symmetric matrices.mp4
34.19MB
4. Matrix multiplications/16. Multiplication of two symmetric matrices.mp4
49.74MB
4. Matrix multiplications/17. Code challenge standard and Hadamard multiplication for diagonal matrices.mp4
19.94MB
4. Matrix multiplications/18. Frobenius dot product.mp4
45.14MB
4. Matrix multiplications/19. What about matrix division.mp4
14.08MB
4. Matrix multiplications/2. Introduction to standard matrix multiplication.mp4
45.31MB
4. Matrix multiplications/3. Four ways to think about matrix multiplication.mp4
37.76MB
4. Matrix multiplications/4. Code challenge matrix multiplication by layering.mp4
35.63MB
4. Matrix multiplications/5. Matrix multiplication with a diagonal matrix.mp4
18.55MB
4. Matrix multiplications/6. Order-of-operations on matrices.mp4
36.81MB
4. Matrix multiplications/7. Matrix-vector multiplication.mp4
75.83MB
4. Matrix multiplications/9. 2D transformation matrices.mp4
52.49MB
5. Matrix rank/10. Code challenge rank of multiplied and summed matrices.mp4
29.96MB
5. Matrix rank/11. Making a matrix full-rank by shifting.mp4
59.9MB
5. Matrix rank/12. Code challenge is this vector in the span of this set.mp4
24.39MB
5. Matrix rank/2. Rank concepts, terms, and applications.mp4
62.87MB
5. Matrix rank/4. Computing rank theory and practice.mp4
90.33MB
5. Matrix rank/5. Rank of added and multiplied matrices.mp4
58.89MB
5. Matrix rank/7. Code challenge scalar multiplication and rank.mp4
55.71MB
5. Matrix rank/8. Code challenge reduced-rank matrix via multiplication.mp4
34.47MB
5. Matrix rank/9. Rank of A^TA and AA^T.mp4
45.03MB
6. Matrix spaces/2. Column space of a matrix.mp4
86.5MB
6. Matrix spaces/3. Row space of a matrix.mp4
19.31MB
6. Matrix spaces/4. Null space and left null space of a matrix.mp4
64.13MB
6. Matrix spaces/5. Columnleft-null and rownull spaces are orthogonal.mp4
30.99MB
6. Matrix spaces/6. Dimensions of columnrownull spaces.mp4
26.83MB
6. Matrix spaces/7. Example of the four subspaces.mp4
50.25MB
6. Matrix spaces/8. More on Ax=b and Ax=0.mp4
28.47MB
7. Solving systems of equations/2. Systems of equations algebra and geometry.mp4
99.72MB
7. Solving systems of equations/3. Converting systems of equations to matrix equations.mp4
29.43MB
7. Solving systems of equations/4. Gaussian elimination.mp4
61.61MB
7. Solving systems of equations/5. Echelon form and pivots.mp4
26.42MB
7. Solving systems of equations/6. Reduced row echelon form.mp4
61.34MB
7. Solving systems of equations/7. Code challenge RREF of matrices with different sizes and ranks.mp4
39.28MB
7. Solving systems of equations/8. Matrix spaces after row reduction.mp4
39.52MB
8. Matrix determinant/2. Determinant concept and applications.mp4
48.01MB
8. Matrix determinant/3. Code challenge determinant of small and large singular matrices.mp4
25.04MB
8. Matrix determinant/4. Determinant of a 2x2 matrix.mp4
27.45MB
8. Matrix determinant/5. Determinant of a 3x3 matrix.mp4
51.56MB
8. Matrix determinant/6. Code challenge determinant of shifted matrices.mp4
62.47MB
8. Matrix determinant/7. Find matrix values for a given determinant.mp4
20.6MB
9. Matrix inverse/10. Code challenge pseudoinverse of invertible matrices.mp4
13.36MB
9. Matrix inverse/2. Matrix inverse Concept and applications.mp4
54.13MB
9. Matrix inverse/3. Inverse of a 2x2 matrix.mp4
26.55MB
9. Matrix inverse/4. The MCA algorithm to compute the inverse.mp4
52.46MB
9. Matrix inverse/5. Computing the inverse via row reduction.mp4
85.53MB
9. Matrix inverse/6. Code challenge inverse of a diagonal matrix.mp4
37.18MB
9. Matrix inverse/7. Left inverse and right inverse.mp4
76.67MB
9. Matrix inverse/8. Proof the inverse is unique.mp4
14.05MB
9. Matrix inverse/9. Pseudo-inverse, part 1.mp4
56.05MB
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