Identity Relation
Identity relation : Let A be a set. Then the relation I$_{A}$= {(a,a): a $\in $ A} on A is called the identity-relation on A.In other words, a relation I$_{A}$ on A is called the identity-relation if every element of A is related itself only.
But If we add (1,3) and (3,2) ordered pair in the set then it will not be an identity-relation.
Examples on Identity Relation
Example 1: Let A = {7,8,9}, write the identity-relation set for set A.Solution : As we know that if A be a set. Then the relation
I$_{A}$= {(a,a): a ∈ A} So
A = {7,8,9} $\Rightarrow$ I$_{A}$= {(7,7),(8,8),(9,9)}
Example 2: Let A = {2,3,4}, write the identity-relation set for set A.
Solution : As we know that if A be a set. Then the relation
I$_{A}$= {(a,a): a ∈ A} So
A = {2,3,4} $\Rightarrow$ I$_{A}$= {(2,2),(3,3),(4,4)}
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