Practice exercises for finding when a system has no, unique, or infinitely many solutions

Worksheet for determinants

Worksheet for change of basis

Section 4.7. Row space, column space, and null space

Section 4.8. Rank, nullity, and the fundamental matrix spaces

Section 4.10. Matrices as linear transformations. Properties.

Section 5.1. Eigenvectors and eigenvalues

Section 5.2. Diagonalization.

Geogebra notebook to explore the geometry of linear transformations in ℝ²