Question

If A = {1,2,3}. Check whether R1,R2,R3,R4 on A are equivalence relations or not. If yes,

then find the equivalence classes of all the elements of A. where

R1 = {(1,1),(1,2),(2,1),(2,2)}. R2 = {(1,1),(2,2),(3,3),(1,2),(2,3),(1,3)}.

R3 = {(1,1),(2,2),(3,3),(1,2),(2,1),(1,3),(3,1)}. R4 = {(1,1),(2,2),(3,3),(1,2),(2,1)}.
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Answer 1

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Answer 2

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