A) Assume that R is transitive relation on a set A. Prove that R^-1 is also transitive relation on the set A
B) Draw the digraph for the relation R on A = (1,2,3,4,5) which is, altogether, not reflexive, not symmetric and not transitive. Then draw the digraphs for: the reflexive closure of R, the symmetric closure of R, and the transitive closure of R.