The relation D is defined on the set P = {6, 9, 15, 54, 78, 90} by the rule: n1 D n2 exactly if (n2 = (6 × n1)) ∨ (n1 = n2). (a) Draw a Hasse diagram for the relation D on P. (b)  State whether the relation D on P is an ordering or not. Explain your conclusions based upon the relation’s adjacency matrix, or other reasoning. (ii)  Let R = {(a, a),(a, b),(a, d),(b, a),(d, a),(d, b)} be a relation on the set {a, b, d}. (a)  Determine the adjacency matrix of R+, where R+ is the transitive closure of R. (b)  List the relation R+ as a set of ordered pairs.

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