Instructor

Prof. Gilbert Strang

Description

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. *Please note that Lecture 4 is unavailable in a higher quality format.

Screenshots



Video Lectures

01 - The Geometry of Linear Equations
02 - Elimination with Matrices
03 - Multiplication and Inverse Matrices
04 - Factorization into A = LU
05 - Transposes, Permutations, Spaces R^n
06 - Column Space and Nullspace
07 - Solving Ax = 0: Pivot Variables, Special Solutions
08 - Solving Ax = b: Row Reduced Form R
09 - 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)
24a- 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

Running time about 40 - 50 minutes for each video
NO PASSWORD


Código:
http://www.filesonic.com/file/838933524/part1.rar
http://www.filesonic.com/file/838937294/part2.rar
http://www.filesonic.com/file/839201584/part3.rar
http://www.filesonic.com/file/839111744/part4.rar