Assess learners' understanding of eigenvalues and eigenvectors including definitions, methods for computing eigenpairs for 2x2 and 3x3 matrices, algebraic vs. geometric multiplicity, and criteria for diagonalizability; evaluate geometric interpretation as invariant directions and scalar stretching (or reflection/rotation) under linear transformations, ability to sketch or describe the action of a matrix on basis vectors and to explain implications for change of basis and similarity transforms. Include both computational problems (find eigenvalues/eigenvectors, determine diagonalizability) and short conceptual questions requiring geometric explanations and interpretation of results in applied contexts.