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To have a closed system, the Maxwell equations should be supplemented byconstitutive relations which connect the primary electromagnetic fields$(\bE,\bB)$ with the secondary ones $(\bD,\bH)$ induced in a medium. Recently[Opt. Commun. \textbf{354}, 259 (2015)] the allowed shapes of the constitutiverelations that follow from the relativistic Maxwell equations formulated interms of geometric algebra were constructed by author. In this paper theobtained general relativistic relations between $(\bD,\bH)$ and $(\bE,\bB)$fields are transformed to four $6\times 6$ matrices that are universal inconstructing various combinations of constitutive relations in terms of morepopular Gibbs-Heaviside vectorial calculus frequently used to investigate theelectromagnetic wave propagation in anisotropic, birefringent, bianisotropic,chiral etc media.

Constitutive relations for electromagnetic field in a form of $6\times 6$ matrices derived from the geometric algebra