If $A$ is a square matrix such that $| A | = 2$ , then for any positive integer $n, | A^{n} |$ is equal to

0

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2 n

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2^{n}

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n^{2}

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Solution

The correct option is B $2^{n}$
Given, $A$ is a square matrix such that $| A | = 2$
Since, $| A^{n} | = | A |^{n} = 2^{n}$
$∴ | A^{n} | = 2^{n}$
Option $C$ is correct.

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