Which of these relations on {O, 1 , 2, 3 } are equivalence

Chapter 8, Problem 8.5.1

(choose chapter or problem)

Which of these relations on {O, 1 , 2, 3 } are equivalence relations? Determine the properties of an equivalence relation that the others lack. a) {(O, 0), ( 1 , 1), (2, 2), (3 , 3)} b) {(O, 0), (0, 2), (2, 0), (2, 2), (2, 3), (3 , 2), (3, 3)} c) {(O, 0), (1 , 1), (I , 2), (2, I), (2, 2), (3, 3)} d) {(O, 0), (1 , I), (I , 3), (2, 2), (2, 3), (3 , I), (3 , 2), (3 , 3)} e) {CO, 0), (0, I), (0, 2), (I , 0), (I , I), (I , 2), (2, 0), (2, 2), (3 , 3)}