6.2.22 Binary relations

Condition: On the set \( A=\{a, b, c, d, e\} \) the relation \( P=\{(a, a),(a, d),(a, e),(b, b),(b, c),(c, b),(c, c) \), \( (d, a),(d, d),(d, e),(e, a)(e, d),(e, e)\} \). Depict it on a graph, in a graph, in a matrix. Determine the properties of the relation \(P\). If \(P\) is an equivalence, then find its equivalence classes. If \( P \) is an order relation, then draw a Hasse diagram, find the maximum and minimum, smallest and largest elements of the set \( A \).