8.47 GB | 29min 0s | mp4 | 1920X1080 | 16:9
Genre:eLearning |Language:English

Files Included :
1 What is linear algebra.mp4 (12 MB)
2 Linear algebra applications.mp4 (7.77 MB)
3 An enticing start to a linear algebra course!.mp4 (81.79 MB)
3 picSVD.zip (18.03 KB)
4 How best to learn from this course.mp4 (14.18 MB)
5 Maximizing your Udemy experience.mp4 (38.1 MB)
1 How to download and use course materials.mp4 (33.58 MB)
1 LinearAlgebra courseMaterials.zip (2.15 MB)
1 Algebraic and geometric interpretations of vectors.mp4 (66.9 MB)
11 Dot product geometry sign and orthogonality.mp4 (73.24 MB)
13 Code challenge Cauchy-Schwarz inequality.mp4 (54.66 MB)
15 Code challenge dot product sign and scalar multiplication.mp4 (37.49 MB)
16 Vector Hadamard multiplication.mp4 (10.78 MB)
17 Outer product.mp4 (30.69 MB)
18 Vector cross product.mp4 (65.72 MB)
19 Vectors with complex numbers.mp4 (17.48 MB)
2 Vector addition and subtraction.mp4 (44.89 MB)
20 Hermitian transpose (a k a conjugate transpose).mp4 (56.78 MB)
21 Interpreting and creating unit vectors.mp4 (39.36 MB)
22 Code challenge dot products with unit vectors.mp4 (48.2 MB)
23 Dimensions and fields in linear algebra.mp4 (35.42 MB)
24 Subspaces.mp4 (37.26 MB)
25 Subspaces vs subsets.mp4 (15.14 MB)
26 Span.mp4 (54.07 MB)
28 Linear independence.mp4 (50.78 MB)
29 Basis.mp4 (36.55 MB)
3 Vector-scalar multiplication.mp4 (48.64 MB)
4 Vector-vector multiplication the dot product.mp4 (56.15 MB)
5 Dot product properties associative, distributive, commutative.mp4 (66.3 MB)
6 Code challenge dot products with matrix columns.mp4 (28.17 MB)
7 Code challenge is the dot product commutative.mp4 (42.55 MB)
8 Vector length.mp4 (18.29 MB)
1 Matrix terminology and dimensionality.mp4 (16.99 MB)
11 Diagonal and trace.mp4 (37.05 MB)
12 Code challenge linearity of trace.mp4 (47.26 MB)
13 Broadcasting matrix arithmetic.mp4 (78.66 MB)
3 A zoo of matrices.mp4 (105.06 MB)
5 Matrix addition and subtraction.mp4 (30.26 MB)
6 Matrix-scalar multiplication.mp4 (8.26 MB)
7 Code challenge is matrix-scalar multiplication a linear operation.mp4 (23.41 MB)
8 Transpose.mp4 (43.94 MB)
9 Complex matrices.mp4 (3.46 MB)
1 Introduction to standard matrix multiplication.mp4 (28.65 MB)
10 Code challenge Geometric transformations via matrix multiplications.mp4 (75.69 MB)
11 Additive and multiplicative matrix identities.mp4 (19.6 MB)
12 Additive and multiplicative symmetric matrices.mp4 (76.5 MB)
13 Hadamard (element-wise) multiplication.mp4 (15.78 MB)
15 Code challenge symmetry of combined symmetric matrices.mp4 (31.79 MB)
16 Multiplication of two symmetric matrices.mp4 (48.82 MB)
17 Code challenge standard and Hadamard multiplication for diagonal matrices.mp4 (21.79 MB)
18 Code challenge Fourier transform via matrix multiplication!.mp4 (56.67 MB)
19 Frobenius dot product.mp4 (44.9 MB)
2 Four ways to think about matrix multiplication.mp4 (26.19 MB)
20 Matrix norms.mp4 (68.7 MB)
21 Code challenge conditions for self-adjoint.mp4 (34.83 MB)
22 Code challenge The matrix asymmetry index.mp4 (180.02 MB)
23 What about matrix division.mp4 (7.39 MB)
3 Code challenge matrix multiplication by layering.mp4 (32.43 MB)
4 Matrix multiplication with a diagonal matrix.mp4 (9.57 MB)
5 Order-of-operations on matrices.mp4 (34.33 MB)
6 Matrix-vector multiplication.mp4 (86.07 MB)
8 2D transformation matrices.mp4 (62.96 MB)
9 Code challenge Pure and impure rotation matrices.mp4 (56.24 MB)
1 Rank concepts, terms, and applications.mp4 (29.62 MB)
10 Making a matrix full-rank by shifting.mp4 (61.61 MB)
11 Code challenge is this vector in the span of this set.mp4 (43.9 MB)
12 Course tangent self-accountability in online learning.mp4 (17.76 MB)
3 Computing rank theory and practice.mp4 (103.47 MB)
4 Rank of added and multiplied matrices.mp4 (30.95 MB)
6 Code challenge reduced-rank matrix via multiplication.mp4 (57.58 MB)
7 Code challenge scalar multiplication and rank.mp4 (32.86 MB)
8 Rank of A^TA and AA^T.mp4 (27.5 MB)
9 Code challenge rank of multiplied and summed matrices.mp4 (17.14 MB)
1 Column space of a matrix.mp4 (29.43 MB)
2 Column space, visualized in code.mp4 (31.44 MB)
3 Row space of a matrix.mp4 (23.88 MB)
4 Null space and left null space of a matrix.mp4 (32.44 MB)
5 Columnleft-null and rownull spaces are orthogonal.mp4 (25.29 MB)
6 Dimensions of columnrownull spaces.mp4 (20.23 MB)
7 Example of the four subspaces.mp4 (25.49 MB)
8 More on Ax=b and Ax=0.mp4 (18.61 MB)
1 Systems of equations algebra and geometry.mp4 (86.84 MB)
2 Converting systems of equations to matrix equations.mp4 (10.91 MB)
3 Gaussian elimination.mp4 (33.03 MB)
4 Echelon form and pivots.mp4 (17.62 MB)
5 Reduced row echelon form.mp4 (86.14 MB)
6 Code challenge RREF of matrices with different sizes and ranks.mp4 (39.2 MB)
7 Matrix spaces after row reduction.mp4 (23.65 MB)
1 Determinant concept and applications.mp4 (17.58 MB)
2 Determinant of a 2x2 matrix.mp4 (16.42 MB)
3 Code challenge determinant of small and large singular matrices.mp4 (63.69 MB)
4 Determinant of a 3x3 matrix.mp4 (32.99 MB)
5 Code challenge large matrices with row exchanges.mp4 (19.18 MB)
6 Find matrix values for a given determinant.mp4 (11.16 MB)
7 Code challenge determinant of shifted matrices.mp4 (73.77 MB)
8 Code challenge determinant of matrix product.mp4 (58.87 MB)
1 Matrix inverse Concept and applications.mp4 (51.59 MB)
10 Proof the inverse is unique.mp4 (9.56 MB)
11 Pseudo-inverse, part 1.mp4 (81.21 MB)
12 Code challenge pseudoinverse of invertible matrices.mp4 (30.68 MB)
2 Computing the inverse in code.mp4 (27.78 MB)
3 Inverse of a 2x2 matrix.mp4 (20.17 MB)
4 The MCA algorithm to compute the inverse.mp4 (57.51 MB)
5 Code challenge Implement the MCA algorithm!!.mp4 (99.39 MB)
6 Computing the inverse via row reduction.mp4 (64.56 MB)
7 Code challenge inverse of a diagonal matrix.mp4 (34.78 MB)
8 Left inverse and right inverse.mp4 (22.25 MB)
9 One-sided inverses in code.mp4 (63.91 MB)
1 Projections in R^2.mp4 (45.76 MB)
10 Code challenge Inverse via QR.mp4 (125.43 MB)
11 Code challenge Prove and demonstrate the Sherman-Morrison inverse.mp4 (61.56 MB)
12 Code challenge A^TA = R^TR.mp4 (20.73 MB)
2 Projections in R^N.mp4 (64.58 MB)
3 Orthogonal and parallel vector components.mp4 (51.06 MB)
4 Code challenge decompose vector to orthogonal components.mp4 (67.64 MB)
5 Orthogonal matrices.mp4 (23.01 MB)
6 Gram-Schmidt procedure.mp4 (26.66 MB)
7 QR decomposition.mp4 (81.35 MB)
8 Code challenge Gram-Schmidt algorithm.mp4 (91.61 MB)
9 Matrix inverse via QR decomposition.mp4 (3.71 MB)
1 Introduction to least-squares.mp4 (40.06 MB)
2 Least-squares via left inverse.mp4 (23.18 MB)
3 Least-squares via orthogonal projection.mp4 (22.01 MB)
4 Least-squares via row-reduction.mp4 (76.03 MB)
5 Model-predicted values and residuals.mp4 (18.2 MB)
6 Least-squares application 1.mp4 (130.87 MB)
7 Least-squares application 2.mp4 (233.8 MB)
8 Code challenge Least-squares via QR decomposition.mp4 (34.9 MB)
1 What are eigenvalues and eigenvectors.mp4 (32.75 MB)
10 Code challenge eigendecomposition of matrix differences.mp4 (112.94 MB)
11 Eigenvectors of distinct eigenvalues.mp4 (21.57 MB)
12 Eigenvectors of repeated eigenvalues.mp4 (38.67 MB)
13 Eigendecomposition of symmetric matrices.mp4 (54.06 MB)
14 Eigenlayers of a matrix.mp4 (16.12 MB)
15 Code challenge reconstruct a matrix from eigenlayers.mp4 (131.58 MB)
16 Eigendecomposition of singular matrices.mp4 (9.91 MB)
17 Code challenge trace and determinant, eigenvalues sum and product.mp4 (48.79 MB)
18 Generalized eigendecomposition.mp4 (52.73 MB)
19 Code challenge GED in small and large matrices.mp4 (170.4 MB)
2 Finding eigenvalues.mp4 (72.78 MB)
3 Shortcut for eigenvalues of a 2x2 matrix.mp4 (7.41 MB)
4 Code challenge eigenvalues of diagonal and triangular matrices.mp4 (57.06 MB)
5 Code challenge eigenvalues of random matrices.mp4 (61.6 MB)
6 Finding eigenvectors.mp4 (61.46 MB)
7 Eigendecomposition by hand two examples.mp4 (23.99 MB)
8 Diagonalization.mp4 (50.43 MB)
9 Matrix powers via diagonalization.mp4 (169.71 MB)
1 Singular value decomposition (SVD).mp4 (93.02 MB)
10 Code challenge When is UV^T valid, what is its norm, and is it orthogonal.mp4 (47.54 MB)
12 SVD, matrix inverse, and pseudoinverse.mp4 (82.45 MB)
13 SVD, (pseudo)inverse, and left-inverse.mp4 (21.82 MB)
14 Condition number of a matrix.mp4 (56.07 MB)
15 Code challenge Create matrix with desired condition number.mp4 (93.14 MB)
16 Code challenge Why you avoid the inverse.mp4 (100.83 MB)
3 Code challenge SVD vs eigendecomposition for square symmetric matrices.mp4 (111.48 MB)
4 Relation between singular values and eigenvalues.mp4 (73.02 MB)
5 Code challenge U from eigendecomposition of A^TA.mp4 (114.46 MB)
6 SVD and the four subspaces.mp4 (19.19 MB)
7 Spectral theory of matrices.mp4 (133.04 MB)
8 SVD for low-rank approximations.mp4 (91.57 MB)
9 Convert singular values to percent variance.mp4 (82.54 MB)
1 The quadratic form in algebra.mp4 (47.91 MB)
10 Proof Eigenvalues and matrix definiteness.mp4 (22.54 MB)
2 The quadratic form in geometry.mp4 (63.2 MB)
3 The normalized quadratic form.mp4 (16.18 MB)
4 Code challenge Visualize the normalized quadratic form.mp4 (88.95 MB)
5 Eigenvectors and the quadratic form surface.mp4 (45.39 MB)
6 Application of the normalized quadratic form PCA.mp4 (242.5 MB)
7 Quadratic form of generalized eigendecomposition.mp4 (88.49 MB)
8 Matrix definiteness, geometry, and eigenvalues.mp4 (58.15 MB)
9 Proof A^TA is always positive (semi)definite.mp4 (15.68 MB)]
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