Lectures related to Change of Basis: Matrices and Transformations

Explains linear independence, basis, and matrix rank with examples and exercises.

Covers exercises related to linear algebra, focusing on finding bases and completing them in a vector space.

Explores orthogonality between vectors and subspaces, demonstrating practical implications in matrix operations.

Explores linear dependence theorems and proofs, emphasizing the importance of understanding linear dependence in linear algebra.

Explores characteristic polynomials, similarity of matrices, and eigenvalues in linear transformations.