Lectures related to Orthogonal diagonalization

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

Explores stationary points, saddle points, symmetric matrices, and orthogonal properties in optimization.

Explores the diagonalization of matrices and obtaining real solutions for linear systems.

Covers the concept of coupled harmonics and the decoupling process.

Covers the concept of diagonalization of matrices, focusing on finding eigenvectors and eigenvalues.

Explores diagonalization through projectors and matrices of projection in relation to eigenvalues and eigenvectors.

Introduces diagonalization by blocks and stable subspaces under linear transformations with examples and proofs.