Which of the following statements is not true? a) If every eigenvalue of a matrix A has algebraic multiplicity 1, then A is diagonalizable. b) If 0 is an eigenvalue of a matrix A, then 43 is singular. c) An nxn matrix with fewer than a linearly independent eigenvectors is not diagonalizable. d) If A is diagonalizable, then there is a unique matrix P such that p-¹AP is diagonal.