Let \( P=\left[\begin{array}{ccc}1 & 0 & 0 \\ 4 & 1 & 0 \\ 16 & 4 & 1\en...

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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 \( Q=\left[q_{i f}\right] \) is a matrix such that \( P^{50}-Q=I \), then \( \frac{q_{31}+q_{32}}{q_{21}} \) equals
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