R and S are relations on set A = {1,2,3,4}, defined as     R = {(1,2},(1,3),(2,3),(2,4),(3,1)}     S = {(2,1},(3,1),(3,2),(4,2)}      Find ` S o R` , `R o S` , `R^-1` , `S^-1` , where ...

R and S are relations on set A = {1,2,3,4}, defined as

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

    S = {(2,1},(3,1),(3,2),(4,2)}

    

Find ` S o R` , `R o S` , `R^-1` , `S^-1` , where  `o` means composition.

Expert Answers
justaguide eNotes educator| Certified Educator

The relation R = {(1,2),(1,3),(2,3),(2,4),(3,1)} and S = {(2,1),(3,1),(3,2),(4,2)}

`SoR` = {(1,1), (2,1), (2,2)}

`RoS` = {(2,2),(2,3),(3,2),(3,3),(3,4)}

`R^-1` = {(2,1),(3,1),(3,2),(4,2),(1,3)}

`S^-1` = {(1,2),(1,3),(2,3)(2,4)}