Using matrix method, the possible spin configurations have been determined for four sublattices in rectangular lattice taking into account only nearest-neighbor exchange interactions. We obtain collinear and non-collinear spin configurations in the ground and the first excited states for the three different propagation vectors. When k = 0, depending on the sign of exchange parameters, we find a ferromagnetic mode and three antiferromagnetic modes. When k = [1, 1] and [1.5, 1.5], we find non-collinear (canted) spin configurations. Moreover, we observe that spins of some sublattices in the excited state change their orientations.