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

Matrices and Determinants: JEE Main 2012 Mathematics question

JEE Main 2012 · Annual, Paper 1 · Q4517

JEE Main 2012Annual, Paper 1MathematicsMediumMatrices and Determinants245× since 2002

Let

P

and

Q

3 \times 3

matrices

P \ne Q.

{P^3} = {Q^3}

and

{P^2}Q = {Q^2}P

then determinant of

\left( {{P^2} + {Q^2}} \right)

is equal to :

JEE Main 2012 · Annual, Paper 1 · Q4517

JEE Main 2012Annual, Paper 1MathematicsMediumMatrices and Determinants245× since 2002

Let

P

and

Q

3 \times 3

matrices

P \ne Q.

{P^3} = {Q^3}

and

{P^2}Q = {Q^2}P

then determinant of

\left( {{P^2} + {Q^2}} \right)

is equal to :