Lectures related to Rank Theorem: Matrix Dimension and Subspaces

Covers changing bases in vector spaces using matrices and the concept of dimension.

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

Explores vector subspaces in R4, symmetric matrices, basis vectors, and canonical forms.

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