Question:
If $A$ is a square matrix of order 3 such that $|A|=5$, write the value of $|\operatorname{adj} A|$.
Solution:
For any square matrix of order n,
$|\operatorname{adj} A|=|A|^{n-1}$
$\Rightarrow|\operatorname{adj} A|=|A|^{2}=5^{2}=25$