# Properties of matrix addition - Matrices

In this section, we will look at the properties of matrix addition. These properties include the dimension property for addition, commutative property, and associative property. Note that for the dimension property, we are allowed to add or subtract two matrices with the same dimensions. The commutative property states that changing the order of the addition or subtraction of two matrices lead to the same result. For the associative property, changing what matrices you add or subtract one will lead to the same answer. There are also matrix addition properties for identity and zero matrices as well. Adding a zero matrix with another matrix (call it A) will give back A. Multiplying an identity matrix with another matrix (call it B) will give back B.