Commutative Property
If set S, a non-empty set is closed under the binary operation *, for all a, b € S. Therefore, a binary operation is commutative if the order of combination does not affect the result.
Example; The operation * on the set R of real numbers is defined by p*q = p3 + q3 - 3qp.
Commutative condition p*q = q*p
To obtain q*p, use the same operation q*p, use the same operation p*q but replace p by q and q by p. Hence, q*p = p3 + q3 - 3qp
In conclusion p*q = q*p, the operation is commutative.
If set S, a non-empty set is closed under the binary operation *, for all a, b € S. Therefore, a binary operation is commutative if the order of combination does not affect the result.
Example; The operation * on the set R of real numbers is defined by p*q = p3 + q3 - 3qp.
Commutative condition p*q = q*p
To obtain q*p, use the same operation q*p, use the same operation p*q but replace p by q and q by p. Hence, q*p = p3 + q3 - 3qp
In conclusion p*q = q*p, the operation is commutative.
Commutative Property
If set S, a non-empty set is closed under the binary operation *, for all a, b € S. Therefore, a binary operation is commutative if the order of combination does not affect the result.
Example; The operation * on the set R of real numbers is defined by p*q = p3 + q3 - 3qp.
Commutative condition p*q = q*p
To obtain q*p, use the same operation q*p, use the same operation p*q but replace p by q and q by p. Hence, q*p = p3 + q3 - 3qp
In conclusion p*q = q*p, the operation is commutative.
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