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JEE Math Practice Question

Let $$P$$ and $$Q$$ be $$3 \times 3$$ matrices $$P \ne Q.$$ If $${P^3} = {Q^3}$$ and $${P^2}Q = {Q^2}P$$ then determinant of $$\left( {{P^2} + {Q^2}} \right)$$ is equal to :

  1. A.$$-2$$
  2. B.$$1$$
  3. C.$$0$$
  4. D.$$-1$$

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