Lectures related to Matrices and Change of Bases

Explores diagonalization of matrices, similarity relations, and eigenvectors in linear algebra.

Covers the basics of linear algebra, including linear maps, bases, and matrix operations.

Covers vector spaces, bases, and decomposition of vectors in R³.

Explores the canonical basis in linear algebra, focusing on matrix representation, diagonalizability, and characteristic polynomials.

Explains methods for finding eigenvalues in linear algebra through examples.

Covers eigenvalues, eigenvectors, and characteristic polynomials in matrix transformations.

Covers matrix eigenvalues, eigenvectors, and their linear independence.