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Definition
 Matrix Addition If $A$ and $B$ are two matrices of order $m\times n$ say $A=(a_{i,j})_(m\times n)$ and $B=(b_{i,j})_(m\times n)$ then their sum $C=A+B$ is a matrix $C=(c_{i,j})_(m\times n)$ where $c_{i,j}=a{i,j}+b_{i,j}$ for all $i$ and $j$

## Examples

Let $A=\begin{pmatrix} 1 & 3 &-4 \\ 0 & -1 & 5 \\ 3 & 4 & 8 \end{pmatrix}$

and $B=\begin{pmatrix} 1 & 0 & 2 \\ 1 & 2 & 5 \\ 0 & 4 & 6 \end{pmatrix}$

Then $C=A+B$ is

$C=\begin{pmatrix} 2 & 3 &-2 \\ 1 & 1 & 10 \\ 3 & 8 & 14 \end{pmatrix}$