Matrix Addition: Learn How To Add Two Matrices Of The Same Size

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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