Lectures related to Hartree-Fock: Roothan Equations

Covers the decomposition of a matrix into its eigenvalues and eigenvectors, the orthogonality of eigenvectors, and the normalization of vectors.

Covers the method of diagonalization for determining if a non-square matrix A is diagonalizable.

Explains how the inverse of a matrix shares its eigenvalue and how the transposed version has the same set of eigenvalues.

Covers the process of diagonalizing matrices, focusing on symmetric matrices and the spectral theorem.