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# Linear Algebra (video)

 12

This is a basic subject on matrix theory and linear algebra. Emphasis is given to topics that will be useful in other disciplines, including systems of equations, vector spaces, determinants, eigenvalues, similarity, and positive definite matrices.

Course Features
1     The Geometry of Linear Equations
2     Elimination with Matrices
3     Multiplication and Inverse Matrices
4     Factorization into A = LU
5     Transposes, Permutations, Spaces R^n
6     Column Space and Nullspace
7     Solving Ax = 0: Pivot Variables, Special Solutions
8     Solving Ax = b: Row Reduced Form R
9     Independence, Basis, and Dimension
10     The Four Fundamental Subspaces
11     Matrix Spaces; Rank 1; Small World Graphs
12     Graphs, Networks, Incidence Matrices
13     Quiz 1 Review
14     Orthogonal Vectors and Subspaces
15     Projections onto Subspaces
16     Projection Matrices and Least Squares
17     Orthogonal Matrices and Gram-Schmidt
18     Properties of Determinants
19     Determinant Formulas and Cofactors
20     Cramer's Rule, Inverse Matrix, and Volume
21     Eigenvalues and Eigenvectors
22     Diagonalization and Powers of A
23     Differential Equations and exp(At)
24     Markov Matrices; Fourier Series
24b     Quiz 2 Review
25     Symmetric Matrices and Positive Definiteness
26     Complex Matrices; Fast Fourier Transform
27     Positive Definite Matrices and Minima
28     Similar Matrices and Jordan Form
29     Singular Value Decomposition
30     Linear Transformations and Their Matrices
31     Change of Basis; Image Compression
32     Quiz 3 Review
33     Left and Right Inverses; Pseudoinverse
34     Final Course Review

Video Lectures | MPEG4 Video 480x360 25.00fps | AAC 44100Hz stereo 1411Kbps | 34 lectures, (40 :50) minutes/lecture | 3.55 GB

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Tags: Linear Algebra, Linear, video, Video, Algebra, including, determinants, eigenvalues, spaces, vector, systems, similarity, equations