JEE Advanced 2016 Paper 2 Mathematics Q1

Mathematics

Problem

Let

P=\begin{bmatrix}1&0&0\\4&1&0\\16&4&1\end{bmatrix}

and

I

be the identity matrix of order 3. If

Q=[q_{ij}]

is a matrix such that

P^{50}-Q=I

, then

\dfrac{q_{31}+q_{32}}{q_{21}}

equals