The value of x for which the matrix $A=\begin{bmatrix} 0 & 1 & -4\\-1 & 0 & 3\\x & -3 & 0 \end{bmatrix}$ is skew symmetric is :

4

The correct answer is Option (2) → 4

As the given matrix is skew-symmetric,

$-A=A^T$

$⇒A=\begin{bmatrix} 0 & -1 & 4\\1 & 0 & -3\\-x & 3 & 0 \end{bmatrix}=\begin{bmatrix} 0 & -1 & x\\1 & 0 & -3\\-4 & 3 & 0 \end{bmatrix}$

$⇒x=4$