Question

Is the relation R = {(1, 1), (2, 2), (3,3)} in A = {1,2,3) an equivalence relation
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Answer 1

The relation R = {(1,1),(2,2),(3,3)} on the set {1,2,3} is. Solution : Clearly, R is the identify relation on set {1, 2, 3} and the identity relation is always an equivalence relation. Hence, R is an equivalence relation.

Answer 2

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