Matrix Addition

Matrix Addition involves the addition of like components. For a two by two matrix we might refer to the locations of the four components with names like northwest, northeast, southeast and southwest. If you can see what we mean by this, you will notice details like how the northwest component in the first matrix is added to the northwest component in the second matrix to give the northwest component in the answer.

\begin{bmatrix} 1 && 3 \\ 5 && 7 \end{bmatrix} + \begin{bmatrix} 2 && 2 \\ 2 && 2 \end{bmatrix} = \begin{bmatrix} 3 && 5 \\ 7 && 9 \end{bmatrix}