Lecture 1: The geometry of linear equations
http://ia600306.us.archive.org/22/items/MIT18.06S05_MP4/01_512kb.mp4


Lecture 2: Elimination with matrices
http://ia600306.us.archive.org/22/items/MIT18.06S05_MP4/02_512kb.mp4


Lecture 3: Multiplication and inverse matrices
http://ia600306.us.archive.org/22/items/MIT18.06S05_MP4/03_512kb.mp4


Lecture 4: Factorization into A = LU
http://ia600306.us.archive.org/22/items/MIT18.06S05_MP4/04_512kb.mp4


Lecture 5: Transposes, permutations, spaces R^n
http://ia600306.us.archive.org/22/items/MIT18.06S05_MP4/05_512kb.mp4


Lecture 6: Column space and nullspace
http://ia600306.us.archive.org/22/items/MIT18.06S05_MP4/06_512kb.mp4


Lecture 7: Solving Ax = 0: pivot variables, special solutions
http://ia600306.us.archive.org/22/items/MIT18.06S05_MP4/07_512kb.mp4


Lecture 8: Solving Ax = b: row reduced form R
http://ia600306.us.archive.org/22/items/MIT18.06S05_MP4/08_512kb.mp4


Lecture 9: Independence, basis, and dimension
http://ia600306.us.archive.org/22/items/MIT18.06S05_MP4/09_512kb.mp4


Lecture 10: The four fundamental subspaces
http://ia600306.us.archive.org/22/items/MIT18.06S05_MP4/10_512kb.mp4


Lecture 11: Matrix spaces; rank 1; small world graphs
http://ia600306.us.archive.org/22/items/MIT18.06S05_MP4/11_512kb.mp4


Lecture 12: Graphs, networks, incidence matrices
http://ia600306.us.archive.org/22/items/MIT18.06S05_MP4/12_512kb.mp4


Lecture 13: Quiz 1 review
http://ia600306.us.archive.org/22/items/MIT18.06S05_MP4/13_512kb.mp4


Lecture 14: Orthogonal vectors and subspaces
http://ia600306.us.archive.org/22/items/MIT18.06S05_MP4/14_512kb.mp4


Lecture 15: Projections onto subspaces
http://ia600306.us.archive.org/22/items/MIT18.06S05_MP4/15_512kb.mp4


Lecture 16: Projection matrices and least squares
http://ia600306.us.archive.org/22/items/MIT18.06S05_MP4/16_512kb.mp4


Lecture 17: Orthogonal matrices and Gram-Schmidt
http://ia600306.us.archive.org/22/items/MIT18.06S05_MP4/17_512kb.mp4


Lecture 18: Properties of determinants
http://ia600306.us.archive.org/22/items/MIT18.06S05_MP4/18_512kb.mp4


Lecture 19: Determinant formulas and cofactors
http://ia600306.us.archive.org/22/items/MIT18.06S05_MP4/19_512kb.mp4


Lecture 20: Cramer's rule, inverse matrix, and volume
http://ia600306.us.archive.org/22/items/MIT18.06S05_MP4/20_512kb.mp4


Lecture 21: Eigenvalues and eigenvectors
http://ia600306.us.archive.org/22/items/MIT18.06S05_MP4/21_512kb.mp4


Lecture 22: Diagonalization and powers of A
http://ia600306.us.archive.org/22/items/MIT18.06S05_MP4/22_512kb.mp4


Lecture 23: Differential equations and exp(At)
http://ia600306.us.archive.org/22/items/MIT18.06S05_MP4/23_512kb.mp4


Lecture 24: Markov matrices; fourier series
http://ia600306.us.archive.org/22/items/MIT18.06S05_MP4/24_512kb.mp4


Lecture 24b: Quiz 2 review
http://ia600306.us.archive.org/22/items/MIT18.06S05_MP4/24b_512kb.mp4


Lecture 25: Symmetric matrices and positive definiteness
http://ia600306.us.archive.org/22/items/MIT18.06S05_MP4/25_512kb.mp4


Lecture 26: Complex matrices; fast fourier transform
http://ia600306.us.archive.org/22/items/MIT18.06S05_MP4/26_512kb.mp4


Lecture 27: Positive definite matrices and minima
http://ia600306.us.archive.org/22/items/MIT18.06S05_MP4/27_512kb.mp4


Lecture 28: Similar matrices and jordan form
http://ia600306.us.archive.org/22/items/MIT18.06S05_MP4/28_512kb.mp4


Lecture 29: Singular value decomposition
http://ia600306.us.archive.org/22/items/MIT18.06S05_MP4/29_512kb.mp4


Lecture 30: Linear transformations and their matrices
http://ia600306.us.archive.org/22/items/MIT18.06S05_MP4/30_512kb.mp4


Lecture 31: Change of basis; image compression
http://ia600306.us.archive.org/22/items/MIT18.06S05_MP4/31_512kb.mp4


Lecture 32: Quiz 3 review
http://ia600306.us.archive.org/22/items/MIT18.06S05_MP4/32_512kb.mp4


Lecture 33: Left and right inverses; pseudoinverse
http://ia600306.us.archive.org/22/items/MIT18.06S05_MP4/33_512kb.mp4


Lecture 34: Final course review
http://ia600306.us.archive.org/22/items/MIT18.06S05_MP4/34_512kb.mp4