Mathematics · 2022
JEE Main · 28 June 2022, Shift 1 · Q4
Let A be a matrix of order 3 × 3 and det (A)=2. Then det ( det (A) adj (5 adj (A^3))) is equal to \ \ \ \.
Let $\displaystyle A$ be a matrix of order $\displaystyle 3 \times 3$ and $\displaystyle \operatorname{det}(A)=2$. Then $\displaystyle \operatorname{det}\left(\operatorname{det}(A) \operatorname{adj}\left(5 \operatorname{adj}\left(A^3\right)\right)\right)$ is equal to \_\_\_\_.
Official answer
(1)
$\displaystyle 512 \times 10^6$
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JEE Main 2022 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.