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Define a symmetric relation....

Define a symmetric relation.

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Define a symmetric matrix.

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Give an example of a relation which is reflexive and symmetric but not transitive.

Give an example of a relation. Which is (i) Symmetric but neither reflexive nor transitive. (ii) Transitive but neither reflexive nor symmetric. (iii) Reflexive and symmetric but not transitive. (iv) Reflexive and transitive but not symmetric. (v) Symmetric and transitive but not reflexive.

Let A = {1,2,3}. Then number of relations containing (1,2) and (1,3) which are reflexive ans symmetric but not transitive is