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(8 points) Prove that the following relations are equivalence relations: (a) R1 = {(1, 1),(2, 2),(3, 3),(2, 3),(3, 2)} on set {1, 2, 3}. (b)

(8 points) Prove that the following relations are equivalence relations: (a) R1 = {(1, 1),(2, 2),(3, 3),(2, 3),(3, 2)} on set {1, 2, 3}. (b) R2 = A^2 on any non-empty set A.

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