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Consider a binary operation ∗ on the set {1, 2, 3, 4, 5} given by the following multiplication table (Table 1.2). Is ∗ commutative?

Q.4 Consider a binary operation ∗ on the set \{1, 2, 3, 4, 5\} given by the following
multiplication table (Table 1.2).

(ii) Is ∗ commutative?

(Hint: use the following table)

Answers (1)
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(ii) 

For every a,b \in\{1, 2, 3, 4, 5\} , we have a*b = b*a. Hence it is commutative.

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