1 5 4 2. Let A = 0 2 0 5 Show your work. CO -6 2 2 (a) (6 points) Calculate the determinant of A det (A) = (b) (4 points) Calculate following determinants. det(AT A2) = det (-3A-]) = (c) (1 point) Suppose B is a 4 x 4 matrix with det(B) = 0. Is the matrix AB invertible? No justification needed. (Circle one) Yes No [4 3 co 3. (3 points) Let A = 3 4 3 . Is 7 = an eigenvector for A? Justify your answer. 3 3 4