Discrete Structures20805 marksNumerical: symmetric closure of relationClosure of Relations
Define symmetric closure. What is the symmetric closure of the relation R = {(1,1), (1,2), (2,2), (2,3), (3,1), (2,1)} on the set A = {1,2,3}?
Define symmetric closure. What is the symmetric closure of the relation R = {(1,1), (1,2), (2,2), (2,3), (3,1), (2,1)} on the set A = {1,2,3}? [5]
- Set $A = {1, 2, 3}$ - Relation $R = {(1,1),\ (1,2),\ (2,2),\ (2,3),\ (3,1),\ (2,1)}$ --- The symmetric closure of a relation $R$ on a set $A$ is the smallest symmetric relation on $A$ that contains $R$. It is formed by adding to $R$ the reverse pair $(b,a)$ for every pair $(a,b) \in R$ whos...