Algebra-Lineare Algebra-Matrix
$Matrix$
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Beispiel Nr: 02
$\begin{array}{l} \\
\text{ Gegeben:} \\
\begin{array}{c}
Matrix A \\
\left[ \begin{array}{cccc}
a_{11} & a_{12} & \ldots & a_{1n}\\
a_{21} & a_{22} & \ldots & a_{2n}\\
\vdots & \vdots &\vdots & \vdots \\
a_{m1} & a_{m2} & \ldots & a_{mn}\\
\end{array} \right] \\
Matrix B \\
\left[ \begin{array}{cccc}
b_{11} & b_{12} & \ldots & b_{1n}\\
b_{21} & b_{22} & \ldots & b_{2n}\\
\vdots & \vdots &\vdots & \vdots \\
b_{m1} & b_{m2} & \ldots & b_{mn}\\
\end{array} \right]
\end{array}
\\ \textbf{Aufgabe:}\\Addieren \\ \textbf{Rechnung:}\\ \small \left[ \begin{array}{ccc}
1 & 2 & 3 \\
4 & 5 & 6 \\
7 & 8 & 9 \\
\end{array} \right]
+ \small \left[ \begin{array}{ccc}
1 & 2 & 3 \\
4 & 5 & 6 \\
7 & 8 & 9 \\
\end{array} \right]
= \\ \small \left[ \begin{array}{ccc}
1+1 & 2+2 & 3+3 \\
4+4 & 5+5 & 6+6 \\
7+7 & 8+8 & 9+9\end{array} \right]
= \\ \small \left[ \begin{array}{ccc}
2 & 4 & 6 \\
8 & 10 & 12 \\
14 & 16 & 18 \\
\end{array} \right]
\end{array}$