Lectures related to Matrix Exponential: Properties and Justifications

Covers matrix operations, including multiplication, transposition, powers, and inverses, and explains how to determine if a matrix is invertible.

Explores diagonalization of symmetric matrices and their eigenvalues, emphasizing orthogonal properties.

Explores the effect of rounding errors in solving linear systems using the LU factorization method.

Introduces LU decomposition for efficient linear equation solving using matrix factorization.

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