# Commutative Law

Commutative law is the most common and first law that is taken over different operands. In general, we have only addition and multiplication operands in different fields such as numbers, matrices, vectors, etc following commutative characteristic. Subtraction and division never follow this characteristic of operands. Some other characteristics of operations are associative law, distributive law, identity law, etc.

The most common use of commutative law is in the calculation part, as we generally interchange positions of numbers or expressions in equations. This is possible only when commutative law holds. Also, the associative law is derived from the commutative law only. According to the associative law, if * is an operand in three variables, x, y and z then,

**x * (y * z) = (x * y) * z**