V. Eigenvalues and Spectral Theory
Eigenvalues, eigenvectors, diagonalization, the spectral theorem, Jordan canonical form, Cayley-Hamilton, matrix functions, and Perron-Frobenius theory.
| Chapter | Title |
|---|---|
| 59 | Eigenvalues |
| 60 | Eigenvectors |
| 61 | Characteristic Polynomial |
| 62 | Eigenspaces |
| 63 | Diagonalization |
| 64 | Spectral Theorem |
| 65 | Symmetric Matrices |
| 66 | Hermitian Operators |
| 67 | Normal Operators |
| 68 | Jordan Canonical Form |
| 69 | Minimal Polynomial |
| 70 | Cayley-Hamilton Theorem |
| 71 | Rational Canonical Form |
| 72 | Matrix Functions |
| 73 | Matrix Exponential |
| 74 | Perron-Frobenius Theory |