NPT IN Me T N el Assignment 3 (Due by April 25, 1:30 pm) (10 pts) Question 1: Equivalence relations are relations that are reflexive, symmetric, and transitive. Let A={0, 1, 2, 3} and R a relation over A: R = {(0, 0),(0, 1),(0, 3),(1, 1),(1, 0),(2, 3),(3, 3)} Draw the directed graph of R. Check whether R is an equivalence relation. Give a counterexample in each case in which the relation does not satisfy one of the properties of being an equivalence relation. 2 (10 pts) Question 2: Find the matrix that represents the given relation R~ . Use elements in the order given to determine rows and columns of the matrix. R is the relation onon {1, 2, 3,4} such thataR b means |a - b|