\(\text { If } \mathrm{A} \text { is } 3 \times 3 \text { matrix such that } \operatorname{det}(\mathrm{A})=2 \text {. T…

Given:- \(A\) is order 3 square matrix \(|A|=2\)
To find: \(|(\operatorname{adj}\operatorname{adj}(\operatorname{adj}(\operatorname{adj} A)))|\)
we know \(\mid\) adj \(A\left|=|A|^{n-1}\right.\)

\(\begin{aligned}
&|A|=2 \quad and \quad n=3 \\
& \mid \operatorname{adj}(\operatorname{adj}(\operatorname{adi}(\operatorname{adj} A) \mid=|A|^{(n-1)^4} \\
& =|A|^{2^4} \\
&=2^{2^4} \\
&=2^{16}
\end{aligned}\)