30. Linear Transformations and Their Matrices

31. Change of Basis; Image Compression

26. Complex Matrices; Fast Fourier Transform

1. The Geometry of Linear Equations

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11. Matrix Spaces; Rank 1; Small World Graphs

21. Eigenvalues and Eigenvectors

12. Graphs, Networks, Incidence Matrices

20. Cramer's Rule, Inverse Matrix, and Volume

27. Positive Definite Matrices and Minima

2. Elimination with Matrices.

22. Diagonalization and Powers of A

16. Projection Matrices and Least Squares

48 - Linear maps

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8. Solving Ax = b: Row Reduced Form R

4. Factorization into A = LU

18. Properties of Determinants

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5. Transposes, Permutations, Spaces R^n