Chapter 11 - Systems of Equations and Inequalities - Chapter Review - Review Exercises - Page 794: 13

$\begin{bmatrix}4&-4\\3&9\\4&4\end{bmatrix}$

We are given the matrices: $A=\begin{bmatrix}1&0\\2&4\\-1&2\end{bmatrix},C=\begin{bmatrix}3&-4\\1&5\\5&2\end{bmatrix}$ Compute $A+C$: $A+C=\begin{bmatrix}1&0\\2&4\\-1&2\end{bmatrix}+\begin{bmatrix}3&-4\\1&5\\5&2\end{bmatrix}$ $=\begin{bmatrix}1+3&0+(-4)\\2+1&4+5\\-1+5&2+2\end{bmatrix}$ $=\begin{bmatrix}4&-4\\3&9\\4&4\end{bmatrix}$