If the matrix $\begin{bmatrix} x-y & 1 & -2\\2x-y & 0 & 3 \\2 & -3 & 0 \end{bmatrix}$ is skew-symmetric, then values of x and y are respectively

$-1, -1$

The correct answer is Option (4) → $-1, -1$

$\begin{bmatrix} x-y & 1 & -2\\2x-y & 0 & 3 \\2 & -3 & 0 \end{bmatrix}=\begin{bmatrix} -x+y & -2x+y & -2\\-1 & 0 & 3 \\2 & -3 & 0 \end{bmatrix}$

skew symmetric

$x-y=-x+y$

$⇒x=y$ so $2x-y=-1$

so $x=-1=y$