| Matrix Tricks | |
| From First Principles | FormalMath 113 |
| Matrix-Vector Products | |
| Four fundamental spaces | |
| Symmetry, Transpose | |
| Definiteness | |
| Trace | |
| Rank | |
| Inverses, Pseudoinverses | |
| Inner Product & Norms | |
| Spectral theorems | |
| Eigenvalues and Eigenvectors | |
| Singular Value Decomposition | |
| Determinants | |
| Duals | FormalMath 113 |
| Projections | Math 104Math 113 |
| Orthogonal Bases | |
| Matrix Factorizations | Math 104 |
| Jordan Form | Math 104Math 113 |
| Special Matrices | |
| Special Matrix Models | |
| Block Matrices | |