Q12) Let A = {1, 2, 3, 4, 5, 6} and R be the relation on A whose matrix is 1 0 00 0 1 0 1 10 1 0 0 MR = 1 00 01 0 1 01 0 1 0 0 1 0 1 0 -0 1 00 1 1 (a) list in-degrees and out-degrees of all vertices. (b) Determine whether R is reflexive, irreflexive, symmetric, asymmetric, antisymmetric, or transitive? Justify your answer (c) Is R a partial order? Why or why not.