Write the smallest equivalence relation R on Set A = {1, 2, 3}

The smallest equivalence relation on A={1,2,3} is {(1,1), (2,2), (3,3)}..because it is reflexive ,symmetric and transitive at all.

The smallest equivalence relation on A={1,2,3} is {(1,1), (2,2), (3,3)}. It is reflexive, symmetric and transitive. Think for a while.... U can take the ordered pair twice to check for these conditions. For eg: Take (1,1), (1,1)... U get reflexive, symmetric as well as transitive. Similarly is the case with (2,2), and (3,3).