Matrix $A=\begin{bmatrix} 0& a & 5\\4 & b & -1\\c & 1 & 0\end{bmatrix} $ is skew-symmetric, then the values of a, b, c are :

$a=-4, b=0, c= -5 $

The correct answer is Option (1) → $a=-4, b=0, c= -5$

for a skew-symmetric matrix,

$A^T=-A$

$⇒\begin{bmatrix} 0& 4 & c\\a & b & 1\\5c & -1 & 0\end{bmatrix}=-\begin{bmatrix} 0& a & 5\\4 & b & -1\\c & 1 & 0\end{bmatrix}$

$⇒a=-4, b=0, c= -5$