M Alt 8F5303F4-C2CD-4430-BDOB-DAD3DFE55844 final -exam -bfetc #6 Page 3 of 12 0 all that apply. Problem 4. [2 pts.] Suppose A is an n x n matrix with n distinct real eigenvalues. Indicate A) A is diagonalizable B) A is invertible ") Each eigenspace of A has dimension 1. D) For all x E R", there is some A E R such that Ax = Ax. Problem 5. [2 pts. ] Suppose that N and P are n x n matrices such that P = NP. Indicate all that apply. A) det (N) = det(P) B) det (N) = 0 C) det (N) = 1 D) There is not enough information to conclude what det (N) is. Problem 6. [2 pts.] Let A be a matrix such that A2 - 2A + In = 0. Indicate all that apply. A) A is invertible. B) A - 2In is invertible. C) 0 is an eigenvalue of A. D) 2 is not an eigenvalue of A