Solve all parts and provide derivation don't submit only explanation

P7. (10) Let A be the set of all the students enrolled in UNC, Chapel Hill in the Fall of 2022. Define a binary relation f : A X A -> {0, 1} as follows: f(x, y) = 1 if the course schedule of student x has at least one course in common with that of student y, and zero otherwise. (a) (3) Is f reflexive? Why or why not? (b) (3) Is f symmetric? Why or why not? (c) (4) Is f transitive? Why or why not