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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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