What is relation? Explain equivalence relation with the help of an example.
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Relation:-
Let A,B be two sets.If R is ⊆AxB,then R is called a relation from A to B.
eg; A={1,2,3} B={3,4} R={(3,3)} is a relation.
Equivalence relation:-
A relation R is said to be equivalence relation if R is reflexive ,symmetric,transitive.
eg; If A={1,2,3} then R={(1,1)(1,2)(2,1)(2,2)(3,3)} is an equivalence relation in A
Let A,B be two sets.If R is ⊆AxB,then R is called a relation from A to B.
eg; A={1,2,3} B={3,4} R={(3,3)} is a relation.
Equivalence relation:-
A relation R is said to be equivalence relation if R is reflexive ,symmetric,transitive.
eg; If A={1,2,3} then R={(1,1)(1,2)(2,1)(2,2)(3,3)} is an equivalence relation in A
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