Grafiken angepasst

Linear Algebra Refresher.md

@@ -51,4 +51,17 @@ print (veka1.plus(veka2))
 
 ```python
 veka1 = Vector([0,5])
-```
+```
+
+$\left[ {\begin{array}{*{20}{c}}
+7\\
+2
+\end{array}} \right] + \left[ {\begin{array}{*{20}{c}}
+-3\\
+2
+\end{array}} \right] = \left[ {\begin{array}{*{20}{c}}
+4\\
+4
+\end{array}} \right]$
+
+<img src="vector_add_2.png" style="zoom:30%;" />

Vektor_add_1.tex

@@ -1,41 +1,41 @@
-\documentclass[10pt]{article}
+\documentclass[10pt]{article}
-\usepackage{pgf,tikz,pgfplots}
+\usepackage{pgf,tikz,pgfplots}
-\pgfplotsset{compat=1.15}
+\pgfplotsset{compat=1.15}
-\usepackage{mathrsfs}
+\usepackage{mathrsfs}
-\usetikzlibrary{arrows}
+\usetikzlibrary{arrows}
-\pagestyle{empty}
+\pagestyle{empty}
-\begin{document}
+\begin{document}
-\definecolor{xdxdff}{rgb}{0.49019607843137253,0.49019607843137253,1}
+\definecolor{xdxdff}{rgb}{0.49019607843137253,0.49019607843137253,1}
-\definecolor{ududff}{rgb}{0.30196078431372547,0.30196078431372547,1}
+\definecolor{ududff}{rgb}{0.30196078431372547,0.30196078431372547,1}
-\definecolor{uuuuuu}{rgb}{0.26666666666666666,0.26666666666666666,0.26666666666666666}
+\definecolor{uuuuuu}{rgb}{0.26666666666666666,0.26666666666666666,0.26666666666666666}
-\begin{tikzpicture}[line cap=round,line join=round,>=triangle 45,x=1cm,y=1cm]
+\begin{tikzpicture}[line cap=round,line join=round,>=triangle 45,x=1cm,y=1cm]
-\begin{axis}[
+\begin{axis}[
-x=1cm,y=1cm,
+x=1cm,y=1cm,
-axis lines=middle,
+axis lines=middle,
-ymajorgrids=true,
+ymajorgrids=true,
-xmajorgrids=true,
+xmajorgrids=true,
-xmin=-0.5,
+xmin=-0.5,
-xmax=6.5,
+xmax=6.5,
-ymin=-0.25,
+ymin=-0.25,
-ymax=6.6,
+ymax=6.6,
-xtick={-4,-3,...,6},
+xtick={-4,-3,...,6},
-ytick={0,...,6},]
+ytick={0,...,6},]
-\clip(-4.66270591911281,-2.4761462907710943) rectangle (11.894647164540304,7.830725732214009);
+\clip(-4.66270591911281,-2.4761462907710943) rectangle (11.894647164540304,7.830725732214009);
-\draw [-latex,line width=1pt, color=red] (0,0) -- (5,2);
+\draw [-latex,line width=1pt, color=red] (0,0) -- (5,2);
-\draw [-latex,line width=1pt, color=blue] (0,0) -- (1,4);
+\draw [-latex,line width=1pt, color=blue] (0,0) -- (1,4);
-
+
-\draw [-latex,line width=1pt, color=red, dashed] (1,4) -- (6,6);
+\draw [-latex,line width=1pt, color=red, dashed] (1,4) -- (6,6);
-\draw [-latex,line width=1pt, color=blue, dashed] (5,2) -- (6,6);
+\draw [-latex,line width=1pt, color=blue, dashed] (5,2) -- (6,6);
 
 \draw [-latex,line width=2pt, color=orange] (0,0) -- (6,6);
 
-\begin{scriptsize}
+\begin{scriptsize}
-\draw[color=red] (2.5189255735382816,1.3) node {$\overrightarrow{x}$};
+\draw[color=red] (2.5189255735382816,1.3) node {$\overrightarrow{x}$};
-\draw[color=blue] (0.25,2.142145794294401) node {$\overrightarrow{y}$};
+\draw[color=blue] (0.25,2.142145794294401) node {$\overrightarrow{y}$};
-\draw[color=orange] (2.4,3.158919254505808) node {$\overrightarrow{x+y}$};
+\draw[color=orange] (2.4,3.158919254505808) node {$\overrightarrow{x+y}$};
-\draw[color=red] (3.524996155221147,5.3) node {$\overrightarrow{x'\;\,}$};
+\draw[color=red] (3.524996155221147,5.3) node {$\overrightarrow{x'\;\,}$};
-\draw[color=blue] (5.9,4) node {$\overrightarrow{y'\;\,}$};
+\draw[color=blue] (5.9,4) node {$\overrightarrow{y'\;\,}$};
-\end{scriptsize}
+\end{scriptsize}
-\end{axis}
+\end{axis}
-\end{tikzpicture}
+\end{tikzpicture}
 \end{document}

Vektor_add_2.tex

@@ -5,7 +5,7 @@
 \usetikzlibrary{arrows}
 \pagestyle{empty}
 \begin{document}
-\definecolor{uuuuuu}{rgb}{0.26666666666666666,0.26666666666666666,0.26666666666666666}
+
 \begin{tikzpicture}[x=1cm,y=1cm]
 \begin{axis}[
 x=1cm,y=1cm,
@@ -19,19 +19,19 @@ ymax=4.5,
 xtick={-3,...,7},
 ytick={-3,-2,...,6},]
 \clip(-3.5301370701590713,-3.410207869386736) rectangle (7.701311755516924,6.144461052102637);
-\draw [-latex,line width=1pt,color=blue] (0,0) -- (7,2);
+\draw [-latex,line width=1pt] (0,0) -- (7,2);
-\draw [-latex,color=red,line width=1pt] (0,0) -- (-3,2);
+\draw [-latex,line width=1pt] (0,0) -- (-3,2);
-\draw [-latex,line width=2pt,color=orange] (0,0) -- (4,4);
+\draw [-latex,line width=2pt,color=blue] (0,0) -- (4,4);
-\draw [-latex,line width=1pt,color=blue,dashed] (-3,2) -- (4,4);
+\draw [-latex,line width=1pt,color=red,dashed] (-3,2) -- (4,4);
 \draw [-latex,line width=1pt,color=red,dashed] (7,2) -- (4,4);
 \begin{scriptsize}
 
 
 \draw[color=blue] (3.5242446569218764,1.3) node {$\overrightarrow{y}$};
-\draw[color=black] (-1.4862515064759836,1.0793951285093604) node {$v$};
+\draw[] (-2.2,1.08) node {$\overrightarrow{x}$};
-\draw[color=black] (2.0062131460310395,2.150946783255832) node {$w$};
+\draw[color=blue] (1.4,2.151) node {$\overrightarrow{x+y}$};
-\draw[color=blue] (0.5278687334641462,3.3) node {$\overrightarrow{y'}$};
+\draw[color=red] (0.5278687334641462,3.3) node {$\overrightarrow{y'}$};
-\draw[color=black] (5.5085995731190485,3.083593593868502) node {$b$};
+\draw[color=red] (5.2,2.8) node {$\overrightarrow{x}'$};
 \end{scriptsize}
 \end{axis}
 \end{tikzpicture}