Find the equations of the linear application f in the usual base M(2x2)

Question

Let f be a linear application $f: M_(2x2) \\rightarrow M_(2x2)$ defined by $f(A) = AF - FA$ where F is a $M_(2x2)$ matrix.

$F = \\begin{pmatrix} 1 & 2 \\ 0 &