Linear Algebra: Quantum Mechanics

This lecture covers the application of linear algebra concepts to change of coordinates, the postulates of Quantum Mechanics, and important linear algebra concepts such as Hilbert spaces, self-adjoint operators, and unitary operators. It also delves into the spectral theorem for Hermitian operators and the diagonalization of commutative Hermitian operators. The lecture emphasizes the importance of linear algebra in understanding fundamental concepts in quantum treatment of materials properties.