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Properties of Determinants

If A and B ar...

Question

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

-9

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-81

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-27

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Solution

The correct option is B -81
$| 3 A B | = 3^{3} | A | | B | = 27 \times - 1 \times 3 = - 81$

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