If A and B are square matrices of order 3 such that $| A | = - 1, | B | = 3$ then $| 3 A B | =$

- 9

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- 81

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- 27

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81

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Solution

The correct option is A $- 81$
$| 3 A B | = 3^{3} | A B | = 27 \times | A | \times | B |$
We Know,
$| A | = - 1$ and $| B | = 3$
So,
$| 3 A B | = 27 \times | A | \times | B | = 27 (- 1) \times 3 = - 81$

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