Matrix methods to deal with multimodal propagation in electric multiwire transmission lines are quite well-known. However, the matrix theory of magnetic multiwire transmission lines has been established only very recently. In this paper we advance the new subject of hybrid electric/magnetic multiwire transmission lines, which has never been addressed in the literature. A complex system composed of N + 1 electric wires and n + 1 magnetic wires is theoretically analyzed from the viewpoint of their interaction/coupling, transmission line matrix equations, ABCD matrix formalism, superposition of propagation modes.