Let P= [1, 0, 0; 3, 1, 0; 9, 3, 1] and Q=[q_i j] be two 3 × 3 matrices such that Q - P^5= I_3. Then (q_21+ q_31)/(q_32) is equal to:

Let $\displaystyle P=\left[\begin{array}{lll}1 & 0 & 0 \\ 3 & 1 & 0 \\ 9 & 3 & 1\end{array}\right]$ and $\displaystyle Q=\left[q_{i j}\right]$ be two $\displaystyle 3 \times 3$ matrices such that $\displaystyle \mathrm{Q}-\mathrm{P}^5=\mathrm{I}_3$. Then $\displaystyle \frac{\mathrm{q}_{21}+\mathrm{q}_{31}}{\mathrm{q}_{32}}$ is equal to :