Adding and subtracting two matrices together is relatively easy. Elements are simply added or subtracted individually. Take for instance matrices $\mathbf{A}$ and $\mathbf{B}$ with respective elements $a_{ij}$ and $b_{ij}$: $\mathbf{A}+\mathbf{B}=a_{ij}+b_{ij}$ $\mathbf{A}-\mathbf{B}=a_{ij}-b_{ij}$ >[!example]- $\begin{bmatrix}1&0\\2&3\end{bmatrix}-\begin{bmatrix}-1&3\\5&1\end{bmatrix}=\begin{bmatrix}2&-3\\-3&2\end{bmatrix}$