Consider the following train table showing the direct connections between cities A through E. (a) Use set, matrix and digraph notation to represent the relation (b) What does the transitive closure of R correspond to? Why? (c) Use the matrix notation as your starting point to compute the transitive closure of R. Apply the Boolean power method we discussed in class. Once you have derived the matrix representing the transitive closure of R, represent it using digraph notation. What do you observe