Q6. (20 pts.) Do the following questions according to the relation R={(1,1),(1,2),(2,1),(2,2),(3,3),(4,4)} on the set {1,2,3,4}. a. (10 pts.) Determine whether it is reflexive, symmetric, antisymmetric and transitive, if not why? b. (5 pts.) Represent the relation R by the matrix. c. (5 pts.) Draw the directed graph that represent the relation R