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+\documentclass[12pt]{article}% Herbert Voss 2004-06-26
+\usepackage{calc}
+\usepackage{multido}
+\usepackage{pstricks}
+\makeatletter
+\newdimen\xMax
+\newdimen\yMax
+\newcount\xLines
+\newcount\yLines
+\newdimen\dx
+\newdimen\dy
+\xdefinecolor{lightred}{rgb}{1.0, 0.8, 0.8}
+\newcommand{\grid}[3][black]{{%
+ \psset{linewidth=0.1pt}
+ \xMax=#3%
+ \yMax=#2%
+ \dx=5mm \xLines=\xMax \divide\xLines by \dx%
+ \dy=5mm \yLines=\yMax \divide\yLines by \dy%
+ \advance\xLines by 1%
+% \advance\yLines by 1%
+ \yMax=\dy \multiply\yMax by \yLines%
+ \xMax=\dx \multiply\xMax by \xLines%
+ \advance\xLines by 1%
+ \advance\yLines by 1%
+ \psset{unit=1pt, linecolor=#1}%
+ \multido{\rA=0+\strip@pt\dx}{\xLines}{\psline(\rA,0)(\rA,\yMax)}%
+ \multido{\rA=0+\strip@pt\dy}{\yLines}{\psline(0,\rA)(\xMax,\rA)}%
+}}
+\makeatother
+\newsavebox{\gridbox}
+\newenvironment{dogrid}[1][\linewidth]{%
+ \begin{lrbox}{\gridbox}%
+ \begin{minipage}{#1}%
+}{%
+ \end{minipage}%
+ \end{lrbox}%
+ \yMax=\dp\gridbox \advance\yMax by \ht\gridbox
+ \noindent%
+ \raisebox{-1.05\dp\gridbox}{\grid[lightred]{\yMax}{\wd\gridbox}}%
+ \usebox{\gridbox}
+ \vspace{0.5cm}
+}
+
+\begin{document}
+
+\begin{dogrid}
+\[
+\begin{array}{rcll}
+y & = & x^{2}+bx+c\\
+ & = & x^{2}+2\cdot{\displaystyle\frac{b}{2}x+c}\\
+ & = & \underbrace{x^{2}+2\cdot\frac{b}{2}x+\left(\frac{b}{2}\right)^{2}}-{\displaystyle \left(\frac{b}{2}\right)^{2}+c}\\
+ & & \qquad\left(x+{\displaystyle \frac{b}{2}}\right)^{2}\\
+ & = & \left(x+{\displaystyle \frac{b}{2}}\right)^{2}-\left({\displaystyle \frac{b}{2}}\right)^{2}+c & \left|+\left({\displaystyle \frac{b}{2}}\right)^{2}-c\right.\\
+y+\left({\displaystyle \frac{b}{2}}\right)^{2}-c & = & \left(x+{\displaystyle \frac{b}{2}}\right)^{2} & \left|(\textrm{Scheitelpunktform})\right.\\
+y-y_{S} & = & (x-x_{S})^{2}\\
+S(x_{S};y_{S}) & \,\textrm{bzw.}\, & S\left(-{\displaystyle \frac{b}{2};\,\left({\displaystyle \frac{b}{2}}\right)^{2}-c}\right)
+\end{array}
+\]
+\end{dogrid}
+
+\begin{center}
+\begin{dogrid}[.5\linewidth]
+\[
+\left(
+\begin{array}{c@{}c@{}c}
+\begin{array}{|cc|}
+\hline
+a_{11} & a_{12} \\
+a_{21} & a_{22} \\
+\hline
+\end{array} & 0 & 0 \\
+0 & \begin{array}{|ccc|}
+ \hline
+ b_{11} & b_{12} & b_{13}\\
+ b_{21} & b_{22} & b_{23}\\
+ b_{31} & b_{32} & b_{33}\\
+ \hline
+ \end{array} & 0 \\
+0 & 0 & \begin{array}{|cc|}
+ \hline
+ c_{11} & c_{12} \\
+ c_{21} & c_{22} \\
+ \hline
+ \end{array} \\
+\end{array}
+\right)
+\]
+\end{dogrid}
+\end{center}
+
+\end{document}