Sum of matrices
Adding matrices together.
The sum of two matrices of the same size is obtained by adding the corresponding entries of the matrices. In other words, if A and B are two matrices of the same size, then their sum is given by:
(A + B) = [aij + bij]
where 1 ≤ i ≤ m and 1 ≤ j ≤ n, and m x n is the size of the matrices A and B.
For example, suppose we have the following two matrices:
A = [2 3 4]
[5 6 7]
B = [1 0 1]
[2 1 2]
Then the sum of A and B is:
A + B = [2 + 1 3 + 0 4 + 1]
[5 + 2 6 + 1 7 + 2]
= [3 3 5]
[7 7 9]
Note that in order to add two matrices, they must be of the same size. Otherwise, the operation is undefined.
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