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+\documentclass[a4paper,12pt]{report}
+\usepackage[latin1]{inputenc}
+\usepackage{german,deleq}
+\begin{document}
+
+Mit den Definitionen
+\begin{deqarr}
+ \mathbf{X} &=& (x_1,\dots,x_n)\\
+ \mathbf{Y} &=& (y_1,\dots,y_n)
+\end{deqarr}
+sowie
+\begin{ddeqn}
+ \mathbf{A} = \left( \begin{array}{ccc}
+ a_{11} & \cdots & a_{1n}\\ \vdots & \ddots & \vdots\\
+ a_{n1} & \cdots & a_{nn}\end{array}\right)
+\end{ddeqn}
+können wir das Gleichungssystem
+\begin{equation}
+ \mathbf{Y} = \mathbf{A}\mathbf{X}
+\end{equation}
+als
+\begin{ddeqar}
+ y_1 &=& a_{11}x_1 + a_{12}x_2 + \dots +a_{1n}x_n \\
+ &\vdots& \nonumber \\
+ \setcounter{deleq}{14}
+ y_n &=& a_{n1}x_1 + a_{n2}x_2 + \dots +a_{nn}x_n \\
+ \rem{oder mit}\heqno
+ \sum_{i=1}^n a_i &:=& a_1+a_2+\cdots+a_n\\
+ \rem{als}\nydeqno
+ y_1 &=& \sum_i^n a_{1i}x_i \arrlabel{summe}\\
+ &\vdots& \nonumber \\
+ \setcounter{deleq}{14}
+ y_n &=& \sum_i^n a_{ni}x_i
+\end{ddeqar}
+schreiben. Die Gleichungen (\ref{summe}) benutzen dabei
+das sog. Summenzeichen $\sum$.
+
+\end{document} \ No newline at end of file