Assess educators' understanding of the geometric meaning of eigenvalues and eigenvectors for linear transformations in 2D and 3D: identifying invariant directions, interpreting eigenvalues as scaling factors (including sign), relating algebraic vs. geometric multiplicity and eigenspaces, recognizing when real eigenpairs exist (e.g., pure rotations), and explaining diagonalization intuition; includes short computations, diagram interpretation, and concise conceptual explanations.