Question

If $A$ is a square matrix of order $3 \times 3$, then $|KA|$ is equal to

• A. $K|A|$
• B. $K^2|A|$
• C. $K^3|A|$
• D. $3K|A|$

Answer 1

Answer: (C)

$K^3|A|$

Answer 2

The correct answer is C:$K^3|A|$
Given that:
A is a square matrix,
Order=3
We know that:
For $n\times{n}$ matrix, of ef (KA) or $|KA|$=$K^n|A|$
(from properties of determinants)
where n=order of determinant
& here n=3
For $3\times3$ matrix,
$|KA|$=$K^3|A|$