Is the given relation transitive

Question

For given R={(1,1),(2,2),(3,3),(4,4),(1,2),(2,1),(3,4),(4,3)}

Is the given relation transitive?

Comments

firstly u should define Set!!! I mean at which set u are asking about given relation is transitive or not?

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Thanks Set A={1,2,3,4}

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the basic properties of transitive relation is if there is (a,b) and (b,c) then there must be (a,c) so in above question it is satisfied.so the relation is transitive relation.

Answer 1

yes as for all (a,b) & (b,c) there exist (a,c)

Answer 2

Yes it is transitive