Lectures related to Discrete Vibratory Systems: Linear Analysis

Covers matrix multiplication, properties, and inverses in linear algebra.

Covers the method of diagonalizing a symmetric matrix using an orthogonal matrix.

Explores eigenvalues and eigenvectors of Markov chains, focusing on convergence rates and matrix properties.

Covers the diagonalization of symmetric matrices, the spectral theorem, and the use of spectral decomposition.

Covers Canonical Correlation Analysis, a method to find relationships between two sets of variables.

Explores symmetric matrices, eigenvalues, and characteristic polynomials in matrix analysis.

Explores the diagonalization of symmetric matrices and the importance of Singular Value Decomposition.

Explores the spectral decomposition of symmetric matrices, including diagonalization and orthogonal basis change matrices.