If $A=\begin{bmatrix}0&-3&2\\a&b&8\\-2&c&0\end{bmatrix}$ is skew-symmetric matrix, then
Answer & explanation
Correct answer: option 3
$A=\begin{bmatrix}0&-3&2\\a&b&8\\-2&c&0\end{bmatrix}$
$A^T=\begin{bmatrix}0&a&-2\\-3&b&c\\2&8&0\end{bmatrix}$
$(A=-A^T)$ skew symmetric
$⇒\begin{bmatrix}0&-3&2\\a&b&8\\-2&c&0\end{bmatrix}=\begin{bmatrix}0&-a&2\\3&-b&-c\\-2&-8&0\end{bmatrix}$
On comparison
$a=3$, $b=-b⇒b=0$ $c=-8$
$a+c=-5\,\,b=0$