If A is a square matrix of order 3 such that |adj A| = 64, find |A|.
For any square matrix of order n,
$|a d j A|=|A|^{n-1}$
$\Rightarrow 64=|A|^{2} \quad[\because|a d j A|=64]$
$\Rightarrow|A|=\pm 8$
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