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  4. If A is a square matrix of order 3 and |A| = 5, then |A adj.A| is

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Q. If $A$ is a square matrix of order $3$ and $|A| = 5$, then $|A \,adj.A|$ is

KCETKCET 2020Determinants

Solution:

$|A$ adj $A|=| A|| $adj $A |$
$=|A||A|^{3-1}$
$=5\cdot 5^{2}$
$=125$