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Video Lectures

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These video lectures of Professor Gilbert Strang teaching 18.06 were recorded live in the Fall of 1999. Support for the video production was provided by the Lord Foundation of Massachusetts under a grant to the MIT Center for Advanced Educational Services.

These files are also available for download from iTunes® and YouTube™.

Video Lectures Table
Topics	Videos
The Geometry of Linear Equations	(RM - 56K) (RM - 80K) (RM - 220K)
Elimination with Matrices	(RM - 56K) (RM - 80K) (RM - 220K)
Multiplication and Inverse Matrices	(RM - 56K) (RM - 80K) (RM - 220K)
Factorization into A = LU	(RM - 56K) (RM - 80K) (RM - 220K)
Transposes, Permutations, Spaces R^n	(RM - 56K) (RM - 80K) (RM - 220K)
Column Space and Nullspace	(RM - 56K) (RM - 80K) (RM - 220K)
Solving Ax = 0: Pivot Variables, Special Solutions	(RM - 56K) (RM - 80K) (RM - 220K)
Solving Ax = b: Row Reduced Form R	(RM - 56K) (RM - 80K) (RM - 220K)
Independence, Basis, and Dimension	(RM - 56K) (RM - 80K) (RM - 220K)
The Four Fundamental Subspaces	(RM - 56K) (RM - 80K) (RM - 220K)
Matrix Spaces; Rank 1; Small World Graphs	(RM - 56K) (RM - 80K) (RM - 220K)
Graphs, Networks, Incidence Matrices	(RM - 56K) (RM - 80K) (RM - 220K)
Quiz 1 Review	(RM - 56K) (RM - 80K) (RM - 220K)
Orthogonal Vectors and Subspaces	(RM - 56K) (RM - 80K) (RM - 220K)
Projections onto Subspaces	(RM - 56K) (RM - 80K) (RM - 220K)
Projection Matrices and Least Squares	(RM - 56K) (RM - 80K) (RM - 220K)
Orthogonal Matrices and Gram-Schmidt	(RM - 56K) (RM - 80K) (RM - 220K)
Properties of Determinants	(RM - 56K) (RM - 80K) (RM - 220K)
Determinant Formulas and Cofactors	(RM - 56K) (RM - 80K) (RM - 220K)
Cramer's Rule, Inverse Matrix, and Volume	(RM - 56K) (RM - 80K) (RM - 220K)
Eigenvalues and Eigenvectors	(RM - 56K) (RM - 80K) (RM - 220K)
Diagonalization and Powers of A	(RM - 56K) (RM - 80K) (RM - 220K)
Differential Equations and exp(At)	(RM - 56K) (RM - 80K) (RM - 220K)
Markov Matrices; Fourier Series	(RM - 56K) (RM - 80K) (RM - 220K)
Quiz 2 Review	(RM - 56K) (RM - 80K) (RM - 220K)
Symmetric Matrices and Positive Definiteness	(RM - 56K) (RM - 80K) (RM - 220K)
Complex Matrices; Fast Fourier Transform	(RM - 56K) (RM - 80K) (RM - 220K)
Positive Definite Matrices and Minima	(RM - 56K) (RM - 80K) (RM - 220K)
Similar Matrices and Jordan Form	(RM - 56K) (RM - 80K) (RM - 220K)
Singular Value Decomposition	(RM - 56K) (RM - 80K) (RM - 220K)
Linear Transformations and Their Matrices	(RM - 56K) (RM - 80K) (RM - 220K)
Change of Basis; Image Compression	(RM - 56K) (RM - 80K) (RM - 220K)
Quiz 3 Review	(RM - 56K) (RM - 80K) (RM - 220K)
Left and Right Inverses; Pseudoinverse	(RM - 56K) (RM - 80K) (RM - 220K)
Final Course Review	(RM - 56K) (RM - 80K) (RM - 220K)