If a relation 𝑅 on the set 𝐴 = {1, 2, 3} be defined by 𝑅 = {(1, 2), (2, 1)} thenclassify the function 𝑅

To classify the function 𝑅, we need to determine if it is a function or not.

Step 1: Recall that a relation 𝑅 is a function if each element in the domain has exactly one corresponding element in the range.

Step 2: In this case, the relation 𝑅 = {(1, 2), (2, 1)} is defined on the set 𝐴 = {1, 2, 3}.

Step 3: Looking at the relation 𝑅, we see that (1, 2) is an element of 𝑅, which means that 1 is related to 2.

Step 4: Similarly, (2, 1) is also an element of 𝑅, which means that 2 is related to 1.

Step 5: However, there is no element in 𝑅 that relates to 3.

Step 6: Since the element 3 in the domain does not have a corresponding element in the range, we can conclude that 𝑅 is not a function.

Therefore, the relation 𝑅 is not a function.