Answer
$\begin{bmatrix}6&4\\1&-11\\5&12\end{bmatrix}$
Work Step by Step
We are given the matrices:
$A=\begin{bmatrix}1&-1\\0&-4\\3&2\end{bmatrix},C=\begin{bmatrix}4&6\\1&-3\\-1&8\end{bmatrix}$
Compute $2A+C$:
$2A+C=2\begin{bmatrix}1&-1\\0&-4\\3&2\end{bmatrix}+\begin{bmatrix}4&6\\1&-3\\-1&8\end{bmatrix}$
$=\begin{bmatrix}2&-2\\0&-8\\6&4\end{bmatrix}+\begin{bmatrix}4&6\\1&-3\\-1&8\end{bmatrix}$
$=\begin{bmatrix}2+4&-2+6\\0+1&-8+(-3)\\6+(-1)&4+8\end{bmatrix}$
$=\begin{bmatrix}6&4\\1&-11\\5&12\end{bmatrix}$
