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V. Eigenvalues and Spectral Theory

Eigenvalues, eigenvectors, diagonalization, the spectral theorem, Jordan canonical form, Cayley-Hamilton, matrix functions, and Perron-Frobenius theory.

ChapterTitle
59Eigenvalues
60Eigenvectors
61Characteristic Polynomial
62Eigenspaces
63Diagonalization
64Spectral Theorem
65Symmetric Matrices
66Hermitian Operators
67Normal Operators
68Jordan Canonical Form
69Minimal Polynomial
70Cayley-Hamilton Theorem
71Rational Canonical Form
72Matrix Functions
73Matrix Exponential
74Perron-Frobenius Theory