where set S is the set of all 2x2 matrices

so i set an arbitrary matrix from the set S {(w,x);(y,z)}

so (sorry i dont know the matrix format :< )

[a b][w x] = [w x][a b]

[c d][y z] [y z] [c d]

and got

[(ax+bz) (ay+bw)] = [(xa+yc) (xb+yd)]

[(cx+dz) (cy+dw)] = [(za+wc) (zb+wd)]

and then equating them but im stuck here, lol xD

seems like i forgot algebra! XD any help please?