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Three relations R1, R2a n dR3 are define...

Three relations `R_1, R_2a n dR_3` are defined on set `A={a , b , c}` as follow: `R_1={(a , a),(a , b),(a , c),(b , b),(b , c),(c , a),(c , b),(c , c)}` `R_2={(a , b),(b , a),(a , c),(c , a)}` `R_3={(a , b),(b , c),(c , a)}` Find whether each of `R_1, R_2,R_3` is reflexive, symmetric and transitive.

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