Symmetric Matrices and Eigenvectors and Eigenvalues - Proofs - OLD VERSION, see comment
Channel: Linda Green
Date: 2021-01-02

Symmetric matrices have real eigenvalues and their eigenvectors (for distinct eigenvalues) are orthogonal. This video gives a sense for why, but shoves some important details under the rug for the first proof in a potentially misleading way. Please look for an updated, longer video for a more accurate proof.