Math 060 Fall 2017 112917 Spectral Theorem for Hermitian Matrices

Review: A Hermitian matrix with all distinct eigenvalues is unitarily diagonalizable. Statement of Spectral Theorem: Every Hernitian matrix is unitarily diagonalizable. Lemma: Schur's Theorem (every matrix is unitarily upper triangularizable). Inductive proof of Schur's theorem. Proof of Spectral Theorem. Statement of Spectral Theorem for real symmetric matrices. Definition of normal matrices. Dumb observation that Hermitian matrices are normal.

[yesudastare]

which book do u refer sir??.
its good teaching