Given the relation `R={(1,2),(2,3)}` on the set `A={1,2,3},` add a minimum number of ordered pairs so that the enlarged relation is symmetric, transitive and reflexive.

Explanation

To solve the problem of enlarging the relation \( R = \{(1,2), (2,3)\} \) on the set \( A = \{1, 2, 3\} \) so that it becomes reflexive, symmetric, and transitive, we will follow these steps:

### Step 1: Ensure Reflexivity
A relation is reflexive if every element in the set \( A \) is related to itself. Therefore, we need to add the pairs:
- \( (1,1) \)
- \( (2,2) \)
- \( (3,3) \)

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