| Section | Excluded subsections, if any |
| 1.1 | |
| 1.2 | |
| 1.3 | |
| 2.1 | |
| 2.2 | |
| 2.3 | |
| 3.1 | |
| 3.2 | |
| 3.3 | |
| 3.4 | |
| 3.5 | |
| 3.7 | |
| Determinant Handout | |
| 4.4 | Fixed points, Eigenvalues Analysis of 2x2 matrices, Eigenvalue analysis of 2x
2 symmetric matrices; Expressions for determinant and trace in terms of eigenvalues. |
| 6.1 | Reflections about lines through the origin, Orthogonal Projections onto lines
through the origin.
|
| 6.3 | Compositions of three or more linear transformations,
Factoring linear operator into compositions, Geometric properties of invertable..., Image of the unit square. |
| 6.4 | |
| 7.1 | |
| 7.2 | |
| 7.3 | |
| 7.4 | Symmetric rank 1 matrices.
|
| 7.5 | Matrices of the form $A^TA$ and $AA^T$.
|
| 7.6 | A column-row factorization, Column-row expansion. |
| 7.8 | |
| 7.9 | |
| 7.11 | |
| 8.2 | |
| 8.3 | Spectral Decomposition |
| 8.4 | Thm 8.4.5 2x2 case only |
| 8.5 | Constrained Extremum Problems |
| 9.1 | |