Lectures related to Linear Transformations: Matrices and Applications

Explores eigenvalues and eigenvectors in 3D linear algebra, covering characteristic polynomials, stability under transformations, and real roots.

Explores linear dependence and independence of vectors in geometric spaces.

Explores matrices, inverses, and their applications in linear algebra, emphasizing composition and transformation properties.

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