Lectures related to Diagonalisation of Symmetric Matrix by Orthogonal Matrix

Explores the diagonalization of symmetric matrices through orthogonal decomposition and the spectral theorem.

Explores the diagonalization of symmetric matrices and the orthogonality of eigenvectors.

Explores symmetric matrices, quadratic forms, diagonalization, and definiteness with examples and calculations.

Explores the diagonalizability of symmetric matrices and their eigenvectors in an orthonormal basis.

Covers the Singular Value Decomposition theorem and its application in decomposing matrices.

Delves into the proof of the convergence rate theorem for an ergodic Markov chain, emphasizing eigenvalues and detailed balance properties.

Covers the properties and applications of orthogonal matrices.