Let A = {0, 1, 2, 3}. Define a relation R on A as follows: R = {(0, 0), (1, 1), (2, 2), (1, 2), (2, 1), (2, 3), (3, 2)}.

Draw a directed graph for this relation and identify which of the following properties hold for this relation:

a. Reflexive

b. Symmetric

c. Transitive

d. Antisymmetric

Explain why it has a property or give a counterexample.