View Single Post
 Admin P: 21,866 W. Gilbert Strang's lectures on Linear Algebra are available on-line http://ocw.mit.edu/courses/mathemati...ideo-lectures/ Lecture 1 - The Geometry of Linear Equations Lecture 2 - Elimination with Matrices Lecture 3 - Multiplication and Inverse Matrices Lecture 4 - Factorization into A = LU Lecture 5 - Transposes, Permutations, Spaces Rn Lecture 6 - Column Space and Nullspace Lecture 7 - Solving Ax = 0: Pivot Variables, Special Solutions Lecture 8 - Solving Ax = b: Row Reduced Form R Lecture 9 - Independence, Basis, and Dimension Lecture 10 - The Four Fundamental Subspaces Lecture 11 - Matrix Spaces; Rank 1; Small World Graphs Lecture 12 - Graphs, Networks, Incidence Matrices Lecture 13 - Quiz 1 Review Lecture 14 - Orthogonal Vectors and Subspaces Lecture 15 - Projections onto Subspaces Lecture 16 - Projection Matrices and Least Squares Lecture 17 - Orthogonal Matrices and Gram-Schmidt Lecture 18 - Properties of Determinants Lecture 19 - Determinant Formulas and Cofactors Lecture 20 - Cramer's Rule, Inverse Matrix, and Volume Lecture 21 - Eigenvalues and Eigenvectors Lecture 22 - Diagonalization and Powers of A Lecture 23 - Differential Equations and exp(At) Lecture 24 - Markov Matrices; Fourier Series Lecture 24b - Quiz 2 Review Lecture 25 - Symmetric Matrices and Positive Definiteness Lecture 26 - Symmetric Matrices and Positive Definiteness Lecture 27 - Positive Definite Matrices and Minima Lecture 28 - Similar Matrices and Jordan Form Lecture 29 - Singular Value Decomposition Lecture 30 - Linear Transformations and Their Matrices Lecture 31 - Change of Basis; Image Compression Lecture 32 - Quiz 3 Review Lecture 33 - Left and Right Inverses; Pseudoinverse Lecture 34 - Final Course Review Also on Youtube - starting with Lecture 1 (Spring 2005) - http://www.youtube.com/watch?v=ZK3O402wf1c