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Define a Commutative Binary Operation on a Set. - Mathematics

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प्रश्न

Define a commutative binary operation on a set.

उत्तर

An operation * on a set A is called a commutative binary operation if and only if it is a binary operation as well as commutative, i.e. it must satisfy the following two conditions.

\[\left( i \right) a * b \in A, \forall a, b \in A (\text{ Binary operation })\]
\[\left( ii \right) a * b = b * a, \forall a, b \in A (\text{Commutaive})\]

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अध्याय 3: Binary Operations - Exercise 3.6 [पृष्ठ ३५]

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आरडी शर्मा Mathematics [English] Class 12
अध्याय 3 Binary Operations
Exercise 3.6 | Q 4 | पृष्ठ ३५

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