Question

If $k$ is a scalar and $A$ is an $n\times n$ square matrix, then $|kA|=$

• A. $k|A{|}^n$
• B. $k|A|$
• C. $k^n|A^n|$
• D. $k^n|A|$

Answer 1

The correct option is D $k^n|A|$

Property of determinant

$|kA|=k^n|A|$ where $n$ is the order of the matrix