# How do you simplify 3((10, -3), (5, 7))+2((-8, 0), (-6, 11))?

Feb 27, 2016

$\left(\begin{matrix}14 & - 9 \\ 3 & 43\end{matrix}\right)$

#### Explanation:

Constants can be multiplied straight into each matrix:

$\left(\begin{matrix}30 & - 9 \\ 15 & 21\end{matrix}\right) + \left(\begin{matrix}- 16 & 0 \\ - 12 & 22\end{matrix}\right)$

These matrices can be added since they have the same dimensions. Add the corresponding entries:

$\left(\begin{matrix}30 - 16 & - 9 + 0 \\ 15 - 12 & 21 + 22\end{matrix}\right) = \left(\begin{matrix}14 & - 9 \\ 3 & 43\end{matrix}\right)$