Lectures related to Systems of n linear ODEs with constant coupling matrix A

Explores the matrix representation of operators and basis transformation in linear algebra.

Explores normal equations, pseudo-solutions, unique solutions, and symmetric matrices in linear algebra.

Covers matrix eigenvalues, eigenvectors, and their linear independence.

Explores eigenvalues and eigenvectors, demonstrating their importance in linear algebra and their application in solving systems of equations.

Explains the construction of U, verification of results, and interpretation of SVD in matrix decomposition.

Explains how to find free variables in matrix equations and analyze characteristic polynomials.