Test students' recall of definitions and basic properties of eigenvalues, eigenvectors, and matrix diagonalizability for square matrices. Assess ability to define eigenvalue/eigenvector/eigenpair, distinguish algebraic and geometric multiplicity, state necessary and sufficient conditions for diagonalizability (including the role of distinct eigenvalues and linear independence of eigenvectors), and verify or compute simple eigenpairs and diagonalizability for 2x2 and 3x3 examples.