[10 points] True or False? Circle your answer and provide a justification for your choice. (a) T F: If A is invertible, then so is the corresponding cofactor matrix C. (b) T F: For any u, v, w ∈ R 3 , u · (v × w) = v · (w × u) = w · (u × v). (c) T F: If 0 is an eigenvalue of an n × n matrix A, then C(A) = R n . (d) T F: If λ is an eigenvalue of a square matrix A, then every element in N(A − λI) is an eigenvector of A with eigenvalue λ. (e) T F: If λ is an eigenvalue of a square matrix A, then λ is an eigenvalue of AT as well