1. Reduced Row Echelon Form.
Finding the RREF of a Matrix. Solving Equations. The Inverse of a Matrix. Determinants.
2. Subspaces and Basis.
Dependence Relations and Column Space. The Row Space. Null Space. Solving Equations Revisited.
3. Eigenvalues and Diagonalization.
Eigenvalues and Eigenvectors. Diagonalization. Orthonormal Basis. Orthogonal Diagonalization.
4. Applications.
Differential Equations. Least Squares Approximation. Markov Chains. Applications of the Null Space.
Appendix.
