Let A 0, 1,2,3 3. Define the relation R-(1,2),(2,1), (1,3), (3,1) 1. Draw the directed graph ofR. 2. Determine whether the relation R is reflexive/ irreflexive. 1)3. Determine whether the relation R is symmetric / asymmetric. 4. Determine whether the relation R is transitive / intransitive. Give a counterexample in each case in which the relation R does not satisfy one of the properties. Let T be a binary relation defined on A-1 0,1,2, 3such that: Find T', the transitive closure of T