Lectures related to Matrix Equations: Finding Free Variables

Explores matrix operations, linear systems, solutions, and the span of vectors in linear algebra.

Covers the concept of basis, linear transformations, matrices, inverses, determinants, and bijective transformations.

Explores the properties and examples of diagonalizable matrices, emphasizing the relationship between eigenvectors and eigenvalues.

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

Covers linear applications, eigenvalues, eigenvectors, and geometric interpretations of square matrices.

Covers the diagonalization of matrices using eigenvectors and eigenvalues.