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Question

If A is any square matrix of order 3×3 then |3A| is equal to

A
3|A|
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B
13|A|
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C
27|A|
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D
9|A|
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Solution

The correct option is C 27|A|
We know that: If A is a square matrix of order n and its determinant is |A|
Then for any scaler k, |kA|=kn|A|

Here n is 3, so |3A|=33|A|=27|A|

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