LaTeX Forum

\documentclass{scrartcl}

\usepackage{amsmath,tikz}

\tikzset{%
	every picture/.append style={remember picture},
	every node/.append style={inner sep=0pt},
	pfeil/.style={dashed,->,>=latex,shorten <=1mm,shorten >=2.5mm}}
\newcommand\mynode[2]{\tikz\node(#1){$#2$};}%#1 ist der Name und #2 der Inhalt der Node	

\begin{document}

\begin{tabular}{c|l} 
  & $\begin{pmatrix} \mynode{i}{i}\\ \mynode{j}{j}\\ \mynode{1}{1}\end{pmatrix}$\\[7mm] 
  \hline \\ [-3mm] 
  $\begin{pmatrix}\mynode{a11}{A_{11}}&\mynode{a12}{A_{12}}&\mynode{t1}{t_1}\\%
  	A_{21}&A_{22}& t_2\\0&0&1\end{pmatrix}$& 
  $ \begin{pmatrix} A_{11}\cdot i+A_{12}\cdot j+t_1\cdot 1\\% 
  	A_{21}\cdot i+A_{22}\cdot j+t_2\cdot 1\\0\cdot i+0\cdot j+1\cdot1\end{pmatrix}$ 
\end{tabular}

\begin{tikzpicture}[overlay,pfeil]
	\draw(a11)to[out=60,in=180](i);
	\draw(a12)to[out=60,in=180](j);
	\draw(t1)|-(1);
\end{tikzpicture}

\end{document}

\documentclass{article}
\usepackage{amsmath,pst-node}

\begin{document}

\begin{tabular}{c|l}
       & $ \begin{pmatrix} \rnode{i}{i} \\ \rnode{j}{j} \\ 1 \end{pmatrix} $ \\[7mm]
      \hline \\ [-3mm]
    $ \begin{pmatrix} \rnode{A11}{A_{11}} & \rnode{A12}{A_{12}} & t_1 \\ 
            A_{21} & A_{22} & t_2 \\ 0 & 0 & 1 \end{pmatrix} $ &
    $ \begin{pmatrix} A_{11} \cdot i + A_{12} \cdot j + t_1 \cdot 1 \\
                    A_{21} \cdot i + A_{22} \cdot j + t_2 \cdot 1 \\
                    0 \cdot i + 0 \cdot j + 1 \cdot 1 \end{pmatrix} $
\end{tabular} 
\nccurve[angleA=60,angleB=180,linestyle=dashed,
  nodesep=3pt]{->}{A11}{i}
\nccurve[angleA=60,angleB=180,linestyle=dashed,
  nodesep=3pt]{->}{A12}{j}
%\ncline[linestyle=dashed]{A12}{j}

\end{document}

\begin{table}[h!]
  \centering
  \begin{tabular}{c|l}
       & $ \begin{pmatrix} i \\ j \\ 1 \end{pmatrix} $ \\[7mm]
      \hline \\ [-3mm]
    $ \begin{pmatrix} A_{11} & A_{12} & t_1 \\ A_{21} & A_{22} & t_2 \\ 0 & 0 & 1 \end{pmatrix} $ &
    $ \begin{pmatrix} A_{11} \cdot i + A_{12} \cdot j + t_1 \cdot 1 \\ 
                    A_{21} \cdot i + A_{22} \cdot j + t_2 \cdot 1 \\ 
                    0 \cdot i + 0 \cdot j + 1 \cdot 1 \end{pmatrix} $
  \end{tabular}
\end{table}