Given the following relations on the set {1, 2, 3}, list which of the five properties of relations (reflexive,irreflexive, symmetric, antisymmetric,...

Given the following relations on the set {1, 2, 3}, list which of the five properties of relations (reflexive,irreflexive, symmetric, antisymmetric, transitive) each satisfies.

R = {(1, 2),(2, 3),(3, 1)}

S = {(1, 1),(2, 2),(3, 3)}

T = {(1, 2),(2, 1),(1, 3),(3, 1),(2, 3),(3, 2)}