Commutativity

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Commutativity for a given operation means that the order of the operands can be switched and the result is the same. For example, addition is commutative since $a+b=b+a$ regardless of what $a$ and $b$ are.

Some operations that are not commutative include subtraction, e.g., $a-b\ne b-a$ (unless $a=b$).