5. Transposes, Permutations, Spaces R^n

6. Column Space and Nullspace

4. Factorization into A = LU

9. Independence, Basis, and Dimension

8. Solving Ax = b: Row Reduced Form R

2. Elimination with Matrices.

21. Eigenvalues and Eigenvectors

7. Solving Ax = 0: Pivot Variables, Special Solutions

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19. Determinant Formulas and Cofactors

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3. Multiplication and Inverse Matrices

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11. Matrix Spaces; Rank 1; Small World Graphs

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22. Diagonalization and Powers of A

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