Let P = beginbmatrix 1 & 0 & 0 \ 4 & 1 & 0 \ 16 & 4 & 1… — JEE Main 2016 Mathematics PYQ

JEE Main 2016

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

Show answer

Correct option: B

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JEE Main 2016 Mathematics question on Matrices and Determinants