Let … and … be … matrices … If … and … then determinant of … is equal to :

Matrices and Determinants

JEE Main 2012 · Annual, Paper 1 · Q4517

MathematicsMedium244×since 2002Q4517

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

MathematicsMedium244×since 2002Q4517

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 :