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If A={ 0,1,2,3} ,How R= { (0,0), (1,1), (2,2), (3,3) } be transitive relation?

If A={ 0,1,2,3} ,How R= { (0,0), (1,1), (2,2), (3,3) } be transitive relation?

Grade:12th pass

1 Answers

bharat bajaj IIT Delhi
askIITians Faculty 122 Points
7 years ago
In your example, all elements are of the form(a,a). Transitivity is simple, because in this case, if(a,b),(b,c)?R, then you must havea=b=c. Hence it is trivially transitive.
Thanks
Bharat Bajaj
IIT Delhi

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