Question

2. Let A= 3 S 03 [it] BE where s and t are real numbers. [ 0 -2] Which one of the following statements is true ? (A) A is diagonalizable for all s, and B is diagonalizable only if t = 0. (B) A is diagonalizable if s= 0, and B is not diagonalizable if t +0. (C) A is not diagonalizable if s 70, and B is diagonalizable for all t. (D) A and B are both diagonalizable for all s and all t. (E) A and B are diagonalizable only if s= 0 and t = 0.