Let and be matrices with

MATHEMATICS · Single correct · CBSE · Mathematics · Matrices · Matrices

Problem

Let

P

and

Q

3\times3

matrices with

P\ne Q

. If

P^3=Q^3

and

P^2Q=Q^2P

, the determinant of

P^2+Q^2

is equal to (1) 0 (2) -1 (3) -2 (4) 1