State is it reflexive A ={1,2,3} R= { (1,1) , (2,2 ), ( 3,3)}

Explanation

To determine if the relation \( R \) is reflexive on the set \( A \), we need to check if every element in \( A \) is related to itself in \( R \).

### Step-by-step Solution:

1. **Identify the Set and Relation**:
- Given set \( A = \{1, 2, 3\} \)
- Given relation \( R = \{(1, 1), (2, 2), (3, 3)\} \)

2. **Understand Reflexivity**:
- A relation \( R \) on a set \( A \) is reflexive if for every element \( a \in A \), the pair \( (a, a) \) is in \( R \).
- This means we need to check if \( (1, 1) \), \( (2, 2) \), and \( (3, 3) \) are all present in \( R \).

3. **Check Each Element**:
- Check for \( 1 \):
- The pair \( (1, 1) \) is in \( R \).
- Check for \( 2 \):
- The pair \( (2, 2) \) is in \( R \).
- Check for \( 3 \):
- The pair \( (3, 3) \) is in \( R \).

4. **Conclusion**:
- Since all pairs \( (1, 1) \), \( (2, 2) \), and \( (3, 3) \) are present in \( R \), we conclude that the relation \( R \) is reflexive on the set \( A \).

### Final Answer:
Yes, the relation \( R \) is reflexive on the set \( A \).

---