Question

If A is a square matrix of order 3 such that |A| = 5, write the value of |adj A|.

Answer 1

For any square matrix of order n,
$\left|adjA\right|={\left|A\right|}^{n-1}$
$\Rightarrow \left|adjA\right|={\left|A\right|}^2=5^2=25$