A matrix assembly is provided for an electrical system such as, for example, a power distribution unit for an aircraft. The electrical system includes an enclosure and a number of current carrying components such as, for example, electrical bus members, electrical switching apparatus, and/or fuses. The matrix assembly includes a matrix member having a generally planar portion, a plurality of attachment points for attaching the current carrying components to the generally planar portion, and a plurality of mounting points for attaching the generally planar portion to a thermally conductive structure such as, for example, an aluminum airframe structure. The matrix member is a thermally conductive liquid crystalline polymer.; In addition to providing dielectric insulation, the matrix member also effectively transfers heat away from the current carrying components to the aluminum airframe structure, thereby reducing the temperature and corresponding electrical resistance within the electrical system and improving performance.