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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
10 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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