Question

 Let P and Q be 3 × 3 matrices with P ≠ Q. If P³ = Q³ and P²Q = Q²P, then determinant of (P² + Q²) is equal to

(A) -2

(B) 1

(C) 0

(D) -1

Answer 1

Answer is (C) 0

We have P³ = Q³.

Therefore