jee-main 2022 Q68

jee-main · India · session1_28jun_shift1 Matrices Determinant and Rank Computation

Let $A$ be a matrix of order $3 \times 3$ and $\operatorname{det}(A) = 2$. Then $\operatorname{det}\left(\operatorname{det}(A)\operatorname{adj}\left(5\operatorname{adj}\left(A^3\right)\right)\right)$ is equal to
(1) $256 \times 10^6$
(2) $1024 \times 10^6$
(3) $512 \times 10^6$
(4) $256 \times 10^{11}$

Let $A$ be a matrix of order $3 \times 3$ and $\operatorname{det}(A) = 2$. Then $\operatorname{det}\left(\operatorname{det}(A)\operatorname{adj}\left(5\operatorname{adj}\left(A^3\right)\right)\right)$ is equal to\\
(1) $256 \times 10^6$\\
(2) $1024 \times 10^6$\\
(3) $512 \times 10^6$\\
(4) $256 \times 10^{11}$

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