Commutative Property

Definition : Let G be a set and * be a binary relation. * is commutative if for any a,b \in G then a*b = b*a.

An example of this is in the real numbers. 2*3 = 3*2 = 6. However this is not true when it comes to matrix multiplication since A*B \neq B*A in some cases. This means that multiplication in real numbers is commutative but multiplication on matrices is noncommutative.

See Also : Binary Operation

Sharing the Wonder