Let P = beginbmatrix 1 & 0 & 0 \ 3 & 1 & 0 \ 9 & 3 & 1 endbmatrix and Q = [q_ij] be two 3 × 3 matrices such that Q - P^3 = I_3. Then, dfracq_21 + q_31q_32 is equal to

Let P = beginbmatrix 1 & 0 & 0 \ 3 & 1 & 0 \ 9 & 3 & 1… — JEE Main 2019 Mathematics PYQ

JEE Main 2019 · 12 Jan · Shift I

Let

P = \begin{bmatrix} 1 & 0 & 0 \\ 3 & 1 & 0 \\ 9 & 3 & 1 \end{bmatrix}

and

Q = [q_{ij}]

be two

3 \times 3

matrices such that

Q - P^3 = I_3

. Then,

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

is equal to

Show answer

Correct option: A

[JEE Main 2019 · 12 Jan · Shift I]

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