True/False with explanation. Determine if the following statements are True or False and give a quick reason why. For each question assume that all matrices are square n x n matrices. (a) If a matrix A is not invertible, then A does not have any real eigenvalues. (b) Division by a matrix or a vector is not defined. a (c) If ABx = 0, then BAx = 0. (d) If B is the row reduced echelon form of A, then det(B) = det(A). (e) If A is a diagonalizable matrix, then A is similar to the identity matrix.