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Let $P = \begin{bmatrix} 1 & 0 & 0 \ 3 & 1 & 0 \ 9 & 3 & 1 \end{bmatrix}$ and $Q = [q_{ij}]$ be two $3 \times 3$ matrices such that $Q - P^5 = I_3$. Then $\dfrac{q_{21} + q_{31}}{q_{32}}$ is equal to:
(1) $10$
(2) $135$
(3) $15$
(4) $9$
BETA
