Let A = {1, 2, 3} and R = {(a,b): `a,b in A, a` divides b and b divides a}. Show that R is an identity relation on A.

Explanation

To determine if the relation \( R \) defined on the set \( A = \{1, 2, 3\} \) is an identity relation, we need to analyze the relation \( R \) which consists of pairs \( (a, b) \) such that \( a \) divides \( b \) and \( b \) divides \( a \).

### Step-by-Step Solution:

1. **Understanding the Identity Relation**:
An identity relation on a set \( A \) is defined as the set of all pairs \( (a, a) \) for every element \( a \) in \( A \). For our set \( A = \{1, 2, 3\} \), the identity relation would be:
\[
I = \{(1, 1), (2, 2), (3, 3)\}
...