Let \( P \) and \( Q \) be \( 3 \times 3 \) matrices \( P \neq Q \)...

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Let \( P \) and \( Q \) be \( 3 \times 3 \) matrices \( P \neq Q \). If \( P^{3}=Q^{3} \) and \( P^{2} Q=Q^{2} P \), then determinant of \( \left(P^{2}+Q^{2}\right) \) is equal to :
\( \mathrm{P} \)
\( (1)-2 \)
(2) 1
(3) 0
\( (4)-1 \)
\( \mathrm{W} \)
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