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Grade 12th passAlgebra

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

Profile image of Ronit Mohanty
12 Years agoGrade 12th pass
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1 Answer

Profile image of bharat bajaj
12 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