Let I = [[1, 0], [0, 1]] and P = [[2, 0], [0, 3]]. Let Q = [[x, y], [z, 4]] for some non-zero real numbers x, y, and z, for which there is a 2 × 2 matrix R with all entries being non-zero real numbers, such that QR = RP. Then which of the following statements is (are) TRUE?