Mathematics · 2021
JEE Main · 26 August 2021, Shift 2 · Q82
Let A be a 3 × 3 real matrix. If det (2 Adj (2 Adj ( Adj (2 A ))))=2^41, then the value of det ( A^2) equals \ \ \ \.
Let A be a $\displaystyle 3 \times 3$ real matrix. If $\displaystyle \operatorname{det}(2 \operatorname{Adj}(2 \operatorname{Adj}(\operatorname{Adj}(2 \mathrm{~A}))))=2^{41}$, then the value of $\displaystyle \operatorname{det}\left(\mathrm{A}^2\right)$ equals \_\_\_\_.
Official answer
4
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