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 :
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → $a=-4, b=0, c= -5$
for a skew-symmetric matrix,
$A^T=-A$
$⇒\begin{bmatrix} 0& 4 & c\\a & b & 1\\5c & -1 & 0\end{bmatrix}=-\begin{bmatrix} 0& a & 5\\4 & b & -1\\c & 1 & 0\end{bmatrix}$
$⇒a=-4, b=0, c= -5$