\documentclass{report} \usepackage{tikz} \usetikzlibrary{calc} \usepackage{amssymb} \begin{document} \begin{center}\begin{tikzpicture} \draw[blue] (2.75,-2) -- (2.75,3); \node[blue] at (3.2,3) (Komp) {$U^\perp$}; \draw[thick] (0,0) -- (4,0); \draw[thick] (0,0) -- (1.5,1.5); \draw[thick] (4,0) -- (5.5,1.5); \draw[thick] (1.5,1.5) -- (5.5,1.5); \node at (3.5,0.4) (U) {$U$}; \node at (0,2.5) (R) {$\mathbb{R}^3$}; \coordinate (c2) at (2.75,0.75); \draw ($(c2) + (0:0.4)$) arc (0:90:0.4); % radius=4mm, initial=0, final=90 \draw[thick] (2.90,0.90) circle (0.01); \end{tikzpicture}\end{center} \begin{center}\begin{tikzpicture} \draw[->] (-7,0) -- (-1,0); \draw[->] (-4,-3) -- (-4,3); \draw[thick] (-7,-1.5) -- (-1,1.5); \draw[fill=black] (-3,0.5) circle (0.05); \node at (-5,2) (real) {$\mathbb{R}^2$}; \node at (-1,1.8) (gerade) {$L$}; \node at (-1.7,0.5) (punkt) {$x=\left(\begin{array}{c}x_1 \\ x_2\end{array}\right)$}; \draw[->] (1,0) -- (7,0); \draw[->] (4,-3) -- (4,3); \draw[thick] (2.5,3) -- (5.5,-3); \draw[fill=black] (4.5,-1) circle (0.05); \node at (5,2) (real) {$\left(\mathbb{R}^2\right)^*$}; \node at (2.2,3) (annulator) {$L^0$}; \node at (5.7,-1) (punkt2) {$a=(a_1,a_2)$}; \end{tikzpicture}\end{center} \begin{center}\begin{tikzpicture} \node at (0,0) (gleich) {$=$}; \node at (0,-1) (gleich) {$=$}; \node at (0,-2) (gleich) {$=$}; \node at (0,-3) (gleich) {$=$}; \node at (0,-4) (gleich) {$=$}; \node at (1,0) (mal) {$\cdot$}; \node at (1,-1) (mal) {$\cdot$}; \node at (1,-2) (mal) {$\cdot$}; \node at (1,-3) (mal) {$\cdot$}; \node at (1,-4) (mal) {$\cdot$}; \node at (2,0) (plus) {$+$}; \node at (2,-1) (plus) {$+$}; \node at (2,-2) (plus) {$+$}; \node at (2,-3) (plus) {$+$}; \node at (2,-4) (plus) {$+$}; \node[red] at (-0.5,0) (erg1) {5}; \node at (-0.5,-1) (erg2) {13}; \node at (-0.5,-2) (erg3) {5}; \node at (-0.5,-3) (erg4) {3}; \node at (-0.5,-4) (erg5) {2}; \node at (0.5,0) (fak1) {0}; \node at (0.5,-1) (fak2) {2}; \node at (0.5,-2) (fak3) {1}; \node at (0.5,-3) (fak4) {1}; \node at (0.5,-4) (fak5) {2}; \node[blue] at (1.5,0) (quot1) {13}; \node at (1.5,-1) (quot2) {5}; \node at (1.5,-2) (quot3) {3}; \node at (1.5,-3) (quot4) {2}; \node at (1.5,-4) (quot5) {\textbf{1}}; \node at (2.5,0) (plus1) {5}; \node at (2.5,-1) (plus2) {3}; \node at (2.5,-2) (plus3) {2}; \node at (2.5,-3) (plus4) {1}; \node at (2.5,-4) (plus5) {0}; \draw[->] (quot1) -- (erg2); \draw[->] (quot2) -- (erg3); \draw[->] (quot3) -- (erg4); \draw[->] (quot4) -- (erg5); \draw[->] (plus1) -- (quot2); \draw[->] (plus2) -- (quot3); \draw[->] (plus3) -- (quot4); \draw[->] (plus4) -- (quot5); \end{tikzpicture}\end{center} \end{document}