Matrix addition
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| Matrix Addition
If [math]A[/math] and [math]B[/math] are two matrices of order [math]m\times n[/math] say [math]A=(a_{i,j})_(m\times n)[/math] and [math]B=(b_{i,j})_(m\times n)[/math] then their sum [math]C=A+B[/math] is a matrix [math]C=(c_{i,j})_(m\times n)[/math] where [math]c_{i,j}=a{i,j}+b_{i,j}[/math] for all [math]i[/math] and [math]j[/math] |
Examples
Let [math]A=\begin{pmatrix}
1 & 3 &-4 \\
0 & -1 & 5 \\
3 & 4 & 8
\end{pmatrix}[/math]
and [math]B=\begin{pmatrix}
1 & 0 & 2 \\
1 & 2 & 5 \\
0 & 4 & 6
\end{pmatrix}[/math]
Then [math]C=A+B[/math] is
[math]C=\begin{pmatrix} 2 & 3 &-2 \\ 1 & 1 & 10 \\ 3 & 8 & 14 \end{pmatrix}[/math]
