Here , the actual question is to find any matrices $A$ and $B$ such that $AB-BA=I$ relation holds.

but actually, I dont think that we could not find any such matrices. As, the diagonal elements of the matrices $A$ and $B$ would be same. so, after the subtraction, the diagonal elements of the matrics $AB-BA$ would be all $0$. so, the trace of the matrics would be actually zero, where in the right hand side, the trace of the matrics $I$ would be $n$.

so, we could not find any such matrices $A$ and $B$.Is my approach is correct?