## JEE Advanced 2016 Paper 2 Mathematics Question 37

Let $P = \left[ \begin{array}{ccc} 1 & 0 & 0 \\ 4 & 1 & 0 \\ 16 & 4 & 1 \end{array} \right]$ and $I$ be the identity matrix of order 3. If $Q = [q_{ij}]$ is a matrix such that $P^{50} - Q = I$, the $\displaystyle\frac{q_{31} + q_{32}}{q_{21}}$ equals

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