1. Give the following closures, as specified a) Let R be the relation (a, b), (b, c), (c, c)) on (a, b, c). Give the reflexive closure R as a graph b) Let R be the relation {(a, b), (a, c), (b, a), (c, b), (c, c)) onfa, b, c]. Give the symmetric closure R6) as a matrix c) Let R be the relation ((a, a), (a, b), (c, d), (d, a)) on(a, b, c, d). Give the transitive closure R as a set of ordered pairs. d) Let R be the relation (a, d), (a, b), (c, d), (d, a)) onfa, b, c, d, e. Give the reflexive transitive closure R* as a matrix