Question

If the matrix $\left[\begin{array}{ccc}a& 2& -3\\ b& 0& 4\\ c& -4& 0\end{array}\right]$ is skew-symmetric, then $a+b+c=$ ____

• A. $1$
• B. $0$
• C. $-1$
• D. $5$

Answer 1

The correct option is A $1$

For skew-symmetric matrix A

$A^T=-A$

Hence the diagonal elements should be zero.

So $a=0$

Also $b=-2$, $c=3$

Therefore $a+b+c=0-2+3=1$