a) Represent this relation on \( \{a, b, c, d, e\} \) with a matrix. b) Determine whether the relation represented by the directed graph is reflexive, symmetric, and/or antisymmetric. c) Determine whether these sequences of vertices are paths in this directed graph. (If not, write the reason) - a, b, e, e, c, b, e - b, c, b, c, e, d, e, a, b, b, e