Matrix Addition

The two matrices must be of the same size (same number of columns and same number of rows).

Similar components are added together. Hopefully this is intuitive after reviewing the example below:

$\begin{bmatrix}1 & 2\\3 & 4\end{bmatrix} +\begin{bmatrix}1 & 3\\5 & 7\end{bmatrix} =\begin{bmatrix}2 & 5\\8 & 11\end{bmatrix}$