Lines Spaces and Equivalent Matrices

Covers matrix kernels, images, linear applications, independence, and bases in vector spaces.

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

Covers determining vector spaces, calculating kernels and images, defining bases, and discussing subspaces and vector spaces.

Covers linear transformations between polynomial spaces and explores examples of linear independence and bases.

Explores the equivalence between different properties of linear transformations represented by matrices and various matrix operations.