Change of Basis in Vector Spaces

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

Explains the matrix representation of linear transformations between vector spaces.

Explains how to construct the matrix representation of a linear transformation using ordered bases.

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

Explores changing bases in vector spaces and matrix representation of linear transformations.