http://ocw.mit.edu/high-school/courses/highlights-of-calculus/index.htm
Lecture 1: The geometry of linear equations
Go to this video
Lecture 2: Elimination with matrices
Lecture 3: Multiplication and inverse matrices
Lecture 4: Factorization into A = LU
Lecture 5: Transposes, permutations, spaces R^n
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: Complex matrices; fast fourier transform
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