Question

State whether the following statement is True or False: If 𝐴 and 𝐵 are two square matrices of the same order, then $A+B=B+A$

• A. False
• B. True

Answer 1

The correct option is B True

Given that 𝐴 and 𝐵 are both square matrices of same order. Addition of matrices 𝐴 and 𝐵 is defined as they have same order. Now, we know addition of elements is commutative i.e. $a+p=p+a$ So, addition of matrix 𝐴 and 𝐵 is also commutative. i.e., $A+B=B+A$ Hence, the given statement is true