Solution to Find out reflexive, symmetric and transitive closure of following relation R. R = {(1,2), (2,3), … - Sikademy
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Find out reflexive, symmetric and transitive closure of following relation R. R = {(1,2), (2,3), (3,3)}

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Let A={1,2,3}

For R to be reflexive, then it aRa for all a in A. But, 2\not R~ 2. Hence R is not reflexive.

For R to be symmetric, then aRb\implies bRa \forall a,b\in A. But 1R2 \text{ but } 2\not R 1Hence R is not symmetric.

For R to be transitive, then aRb \text{ and } bRc, \text{ then }aRc. But, 1R2 and 2R3 and 1\not R 3. Hence R is not transitive.



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