Let A be the square matrix of order 3, then |kA|, where k is a scalar, is equal to: 

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  1. 3k|A|
  2. k3|A|
  3. k2|A|
  4. k|A|

Answer (Detailed Solution Below)

Option 2 : k3|A|
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Concept -

For any square matrix A of order 3, if k is a scalar, then |kA| (the determinant of  kA ) can be expressed as |kA| = k|A| 

Where n is the order of the square matrix A, and |A| denotes the determinant of matrix A.

Explanation -

In this case, n = 3, so for any scalar k, |kA| = k3 |A|.

Hence Option(2) is correct.

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