Lectures related to Linear Operators: Basis Transformation and Eigenvalues

Covers the application of linear algebra concepts to Quantum Mechanics, including spectral theorem and Brillouin zone.

Discusses measurement in Quantum Mechanics, focusing on state vectors, observables, eigenvalues, and probabilities.

Delves into unitary operators, self-adjoint properties, and spectral theorems in linear algebra.

Explores matrix operations, linear systems, solutions, and the span of vectors in linear algebra.

Explores the diagonalization of matrices through eigenvalues and eigenvectors, emphasizing the importance of bases and subspaces.

Explains the diagonalization of matrices, criteria, and significance of distinct eigenvalues.

Covers the diagonalization of linear transformations in R^3, exploring properties and examples.