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  4. If A is any square matrix of order 3 × 3 then |3A| is equal to

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Q. If $A$ is any square matrix of order $3 \times 3$ then $|3A|$ is equal to

KCETKCET 2016Determinants

Solution:

We know that, if $A$ is any square matrix of order $n$,
then $|K A|=K^n|A|$
$\therefore|3 A|=3^3|A|[\because$ order of $A=3]$
$=27|A|$