Wolovich generalized the classical resultant matrix to give a test for the relative primeness of two real polynomial matricesT(s),V(s), whereG(s) =V(s)T−1is proper. A new proof is given for this result and it is extended to the case whenG(s) = is non-proper. The result is also shown to have connections with the theory of minimal bases for rational vector spaces derived by Forney.