For what value of `x` is the matrix `A=[(0,1,-2),(1,0,3),(x,3,0)]` a skew-symmetric matrix?

Explanation

`A = [[0,1,-2],[-1,0,3],[x,-3,0]]`

`:. A^T = [[0,-1,x],[1,0,-3],[-2,3,0]]`

Now, for a matrix `A` to be a skew-symmetric matrix,

`A = -A^T`

Here, `-A^T = [[0,1,-x],[-1,0,3],[2,-3,0]]`

`:. [[0,1,-2],[-1,0,3],[x,-3,0]] =[[0,1,-x],[-1,0,3],[2,-3,0]]`

So, `-x = -2 and x = 2`

`:.` For `x = 2`, given matrix will be skew symmetric.