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

The correct option is C $K^3|A|$

We know that, for any $n\times n$ matrix $P$, $|kP|=k^n|P|$
$\Rightarrow |KA|=K^3|A|$