Question

if A and B are two matrices of the same order mxn then order of (A+B) is
​

Answer 1

Yes, matrices are commutative.

We can see it as follows,  

Let element of A matrix be denoted by a  

ij

​  

 and B matrix be denoted by b  

ij

​  

 , Then corresponding elements of A+B matrix will be (a  

ij

​  

 +  b  

ij

​  

) and corresponding elements of B+A matrix will be (b  

ij

​  

 + a  

ij

​  

) . But since addition is commutative, corresponding elements of (A+B) and (B+A) matrices are the same , So they are equal.