# Add the following matrices. [[-4,-4],[5,-1],[-3,1]],[[0,0],[3,1],[-4,1]]

Add the following matrices. $\left[\begin{array}{cc}-4& -4\\ 5& -1\\ -3& 1\end{array}\right],\left[\begin{array}{cc}0& 0\\ 3& 1\\ -4& 1\end{array}\right]$

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joshyoung05M

Step 1
Here we add the following matrices $\left[\begin{array}{cc}-4& -4\\ 5& -1\\ -3& 1\end{array}\right]+\left[\begin{array}{cc}0& 0\\ 3& 1\\ -4& 1\end{array}\right]$
Step 2
Let $A=\left[\begin{array}{cc}-4& -4\\ 5& -1\\ -3& 1\end{array}\right],B=\left[\begin{array}{cc}0& 0\\ 3& 1\\ -4& 1\end{array}\right]$
Now $A+B=\left[\begin{array}{cc}-4& -4\\ 5& -1\\ -3& 1\end{array}\right]+\left[\begin{array}{cc}0& 0\\ 3& 1\\ -4& 1\end{array}\right]$
$=\left[\begin{array}{cc}-4+0& -4+0\\ 5+3& -1+1\\ -3+\left(-4\right)& 1+1\end{array}\right]$
$=\left[\begin{array}{cc}-4& -4\\ 8& 0\\ -7& 2\end{array}\right]$
Hence A+B=$\left[\begin{array}{cc}-4& -4\\ 8& 0\\ -7& 2\end{array}\right]$

Jeffrey Jordon