If A is a 3 3 matrix such that |A|=8, then |3 A| equals - Vidyadip

MCQ

If $A$ is a $3 \times 3$ matrix such that $|A|=8$, then $|3 A|$ equals

A
8
B
24
C
72
D
216

✓

Answer

We have, $|3 A|=3^3|A|=3^3-8$ [Given $|A|=8$ ]
$=27 \cdot 8=216$

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