We observe that the sum of
two matrices is a matrix obtained by adding the corresponding elements of the given
matrices Furthermore, the two matrices have to be of the same order Thus, if  
11
12
13
21
22
23
A
a
a
a
a
a
a


= 



 is a 2 × 3 matrix and 
11
12
13
21
22
23
B
b
b
b
b
b
b


= 



 is another
2×3 matrix Then, we define 
11
11
12
12
13
13
21
21
22
22
23
23
A + B
a
b
a
b
a
b
a
b
a
b
a
b
+
+
+


= 

+
+
+

