Lectures related to Symmetric Matrices and Orthogonal Matrices

Explores characteristic polynomials, similarity of matrices, and eigenvalues in linear transformations.

Covers the theory and examples of diagonalizing matrices, focusing on eigenvalues, eigenvectors, and linear independence.

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

Provides an overview of symmetric matrices, quadratic forms, and their applications in linear algebra and analysis.

Explores the diagonalization of symmetric matrices using eigenvectors and eigenvalues, emphasizing orthogonality and real eigenvalues.

Covers the decomposition of matrices into triangular blocks and spectral decomposition.