Question

If A is any $n\times n$ matrix and k is a scalar, $\left|kA\right|=a\left|A\right|$ where a is

• A. kn
• B. $n^k$
  
• C. $k^n$
• D. k/n

Answer 1

The correct option is C $k^n$

$\left|kA\right|=a\left|A\right|$
$k^n\left|A\right|=a\left|A\right|$
where n is order of square matrix A
$\Rightarrow a=k^n$