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If A is a square matrix of order 3, then |2A| is equal to ______. - Mathematics

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Question

If A is a square matrix of order 3, then |2A| is equal to ______.

Options

  • 2|A|

  • 4|A|

  • 8|A|

  • 6|A|

MCQ
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Solution

If A is a square matrix of order 3, then |2A| is equal to 8|A|.

Explanation:

Order of square matrix A.

n = 3

∵ |kA| = kn|A|,

k = constant

`\implies` |2A| = 23|A|

= 8|A|

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