Commutative (Adjective)
Meaning
(of a binary operation) independent of order; as in e.g. "a x b = b x a".
Classification
All adjective clusters.
Examples
- Addition is a commutative operation, as the order of the numbers being added does not change the result.
- The commutative property of multiplication allows us to rearrange the factors in an expression without changing its value.
- In a commutative group, the order of the elements being combined does not affect the outcome.
- Matrix multiplication is not commutative, as the order of the matrices being multiplied can change the result.
- The commutative law of addition states that a + b = b + a for any numbers a and b.