Lectures related to Character of Dirac and Projectors

Introduces scalars and vectors, explaining their properties and mathematical operations.

Explores the diagonalization of matrices and the conditions for exact diagonalization, with examples demonstrating the process.

Explores stability in linear 2D systems, covering fixed points, vector fields, and phase portraits.

Introduces eigenspaces in linear algebra through definitions and practical examples of determining eigenspaces for matrices.

Explores eigenvalues, eigenvectors, and methods for solving linear systems with a focus on rounding errors and preconditioning matrices.

Explores symmetric matrices, their diagonalization, and properties like eigenvalues and eigenvectors.

Explores matrix similarity, diagonalization, characteristic polynomials, eigenvalues, and eigenvectors in linear algebra.

Covers the diagonalization of matrices using eigenvectors and eigenvalues.