In each case below, a relation on the set {1, 2, 3} is given. Of the three properties, reflexivity, symmetry, and transitivity, determine which ones the relation has. Give reasons.
a. R = {(1, 3), (3, 1),(2, 2)}

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

c.  

R =