Answer
$\left[\begin{array}{rrr}
4 & 4 & -5\\
-1 & 5 & 4
\end{array}\right]$
Work Step by Step
$A=\left[\begin{array}{lll}
0 & 3 & -5\\
1 & 2 & 6
\end{array}\right],\quad B=\left[\begin{array}{lll}
4 & 1 & 0\\
-2 & 3 & -2
\end{array}\right],\quad C=\left[\begin{array}{ll}
4 & 1\\
6 & 2\\
-2 & 3
\end{array}\right]$
---
A and B are both 2 by 3 matrices, so A+B is defined.
If C=A+B, $\quad c_{ij}=a_{ij}+b_{ij}$
$A+B=\left[\begin{array}{lll}
0+4 & 3+1 & -5+0\\
1+(-2) & 2+3 & 6+(-2)
\end{array}\right]$
$=\left[\begin{array}{lll}
4 & 4 & -5\\
-1 & 5 & 4
\end{array}\right]$
