6. For the following relation on the set \{x, y, z, w, t\}:
R = \{(x, y), (x, w), (y, x), (y, z), (z, y), (w, t), (t, w), (t, z)\}
(a) Give its arrow diagram representation
(b) Give its matrix representation
(c) Is it reflexive? Explain why and why not.
(d) Is it symmetric? Explain why and why not.
(e) Is it anti-symmetric? Explain why and why not.
(f) Is it transitive? Explain why and why not.
(g) Find $R^\circ$