If \( A=\begin{bmatrix} 0 & 1 & -2\\ -1 & 0 & 3\\ x & -3 & 0\end{bmatrix} \) is a skew symmetric matrix, then, the value of \( x \) is
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → 2
In a skew symmetric matrix, \( a_{ij}=-a_{ji} \). Comparing the (3, 1) and (1, 3) entries,
\( \displaystyle x=-(-2) \)
\( \displaystyle x=2 \)
The other entries already satisfy the condition, and the diagonal is zero.