This property is the defining characteristic of an Abelian [uh-BEE-lee-un] group. Composition of functions and matrix multiplication do not generally have this property. Subtraction also does (*) not have this property because 8 minus 5 is 3, but 5 minus 8 is negative 3. For 10 points, name this property that states a+b=b+a ["a plus b equals b plus a"], that is, that swapping the order of the numbers does not change the result.
This property is the defining characteristic of an Abelian [uh-BEE-lee-un] group. Composition of functions and matrix multiplication do not generally have this property. Subtraction also does (*) not have this property because 8 minus 5 is 3, but 5 minus 8 is negative 3. For 10 points, name this property that states a+b=b+a ["a plus b equals b plus a"], that is, that swapping the order of the numbers does not change the result.
This property is the defining characteristic of an Abelian [uh-BEE-lee-un] group.
commutative property or commutativity