Question:
If $A$ is a square matrix of order 3 such that $|A|=3$, then write the value of $\operatorname{adj}(\operatorname{adj} A)$.
Solution:
For any square matrix A, we have
$|a d j(a d j A)|=|A|^{(n-1)^{2}}$
$\Rightarrow|a d j(a d j A)|=(3)^{4}=81$