Question

Let R and S be the following relations on A=(1,2,3), R={(1,1),(1,2),(3,3),(3,1),(2,3)}, S={(1,2),(1,3),(2,1),(3,3)} find R intersection S , R union S , complement of R, R.S, S^2

Answer 1

RnS={(1,2),(3,3)}
RUS={(1,1),(1,2),(3,3),(3,1),(2,3),(1,3),(2,1)}
R'={(1,3),(2,1)(1,2,3)}
R.S=RUS
S²=S.S
={(1,2),(1,3),(2,1),(3,3)}{(1,2),(1,3),(2,1),(3,3)}
={(1,2),(1,3),(2,1),(3,3)}