Let for $A=\left[\begin{array}{lll}1 & 2 & 3 \ a & 3 & 1 \ 1 & 1 & 2\end{array}\right],|A|=2$. If $|2 \operatorname{adj}(2 \operatorname{adj}(2 A))|=32^{ n }$, then $3 n+\alpha$ is equal to [JEE Main 2023, 13 Apr (Shift 2)]

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Let for \(A=\left[\begin{array}{lll}1 & 2 & 3 \\ a & 3 & 1 \\ 1 & 1 & 2\end{array}\right],|A|=2\…

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Let for \(A=\left[\begin{array}{lll}1 &amp; 2 &amp; 3 \\ a &amp; 3 &amp; 1 \\ 1 &amp; 1 &amp; 2\end{array}\right],|A|=2\…

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Let for \(A=\left[\begin{array}{lll}1 & 2 & 3 \\ a & 3 & 1 \\ 1 & 1 & 2\end{array}\right],|A|=2\…