2. Given a binary relation R = {(1, 1), (1,2), (1,3), (2, 1), (2,2), (2,3), (3, 1), (3,2), (3,3), (4,4)}
on the set S = {1,2,3,4}.
(a) (3 pts) Write the matrix A, that represents the relation R.
(b) (2pts) Is the relation R symmetric?
(c) (2 pts) Is the relation R transitive?