Mathematics · 2021
JEE Main · 3 August 2021, Shift 1 · Q63
Let A be a square matrix of order 3 and | A |=3. If | Adj (3 Adj (4 A ))|=2^m · 3^n, then the ordered pair ( m, n ) is equal to
Let A be a square matrix of order $\displaystyle 3$ and $\displaystyle |\mathrm{A}|=3$.
If $\displaystyle |\operatorname{Adj}(3 \operatorname{Adj}(4 \mathrm{~A}))|=2^{\mathrm{m}} \cdot 3^{\mathrm{n}}$, then the ordered pair $\displaystyle (\mathrm{m}, \mathrm{n})$ is equal to
Official answer
(4)
$\displaystyle (24,10)$
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JEE Main 2021 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.