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  4. If A and B are matrices of order 3 and |A|=5,|B|=3 then |3 A B| is

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Q. If $A$ and $B$ are matrices of order $3$ and $|A|=5,|B|=3$ then $|3 A B|$ is

KCETKCET 2021Determinants

Solution:

$|3 AB |=3^{3}| AB |$
$=27 \times 3 \times 5$
$=405$