> 
> Can anyone help me to find the matrices $X$ and $Y$ such that
> $$XY - YX = \begin{bmatrix} 0 & 1 & 1 \\ 
> 1 & 0 & 1 \\ 
> 1 & 1 & 0 \end{bmatrix}$$
> 
> 
> 

I was trying to randomly choose $A , B$ and test if they work.