The symbolic, implicit, obviously covariant expressions of the state and evolution equations coresponding to specific laws of the electromagnetic field are elegant, but none-univoque, unintuitive and unfamiliar to engineers. This is the reason why the explicit matrix equations need to be highlighted as intermediary relations between the intrinsic vectorial equations of Maxwell-Hertz and the symbolic, tensorial equations, given their intuitive, univoque nature. Thus, matrix expressions corresponding to quadrivectors and quadritensors, split into bivectors and bitensors for the simplifying of equations and the intuitive prominescence of the covariant to the relative motion of bodies and inertial systems of coordinates are highlighted. Similar properties are obtained for equations of the (E,B) field as functions of electrodynamic potentials (V,A) in the case of homogenous and isotropic environments.

Keywords: Covariant matrices equations, Bivectors, Bitensors, Space-time operators