Question

If $A$ is any skew-symmetric matrix of odd order then $\left|A\right|$ equals

• A. $-1$
• B. $0$
• C. $1$
• D. none of these

Answer 1

Answer: (B)

$0$

if $A$ is skew symmetric matrix
then $A=-A^T$
Therefore, $|A|=-|A^T|=-|A|$
$\Rightarrow 2|A|=0$
$\Rightarrow |A|=0$
Ans: B