Let A be a square matrix of order 3 x 3, then |kA| is equal to:

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Solution

Q.
Let $A$ be a square matrix of order $3 \times 3$ , then $| k A |$ is equal to:

1 $k$ $| A |$

2 $k^{2}$ $| A |$

3 $k^{3}$ $| A |$

4 $3 k$ $| A |$

Ans.
(3)

Ans. $k^{3}$ $| A |$

Explanation:

We know that for $n \times n$ matrix,

$| (λ A) |$ $= λ^{n} | A |$

Hence, $| k A |$ $= k^{3}$ $| A |$

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