#### Answer

The provided statement is true.

#### Work Step by Step

Note that the two matrices $A$ and $B$ of the same order are commutative with respect to addition only when $A+B=B+A$.
Under addition, only the corresponding elements are added and the elements belong to real numbers.
Since a real number satisfies the commutative property with respect to addition, therefore, matrix addition is commutative.
Hence, the provided statement is true.