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diff --git a/school/di-ma/uebung/09/09_1.tex b/school/di-ma/uebung/09/09_1.tex
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+\documentclass[12pt,a4paper,german]{article}
+\usepackage{url}
+%\usepackage{graphics}
+\usepackage{times}
+\usepackage[T1]{fontenc}
+\usepackage{ngerman}
+\usepackage{float}
+\usepackage{diagbox}
+\usepackage[utf8]{inputenc}
+\usepackage{geometry}
+\usepackage{amsfonts}
+\usepackage{amsmath}
+\usepackage{cancel}
+\usepackage{wasysym}
+\usepackage{csquotes}
+\usepackage{graphicx}
+\usepackage{epsfig}
+\usepackage{paralist}
+\usepackage{tikz}
+\geometry{left=2.0cm,textwidth=17cm,top=3.5cm,textheight=23cm}
+
+%%%%%%%%%% Fill out the the definitions %%%%%%%%%
+\def \name {Valentin Brandl}					%
+\def \matrikel {108018274494}				%
+\def \pname {Marvin Herrmann}				%
+\def \pmatrikel {108018265436}				%
+\def \gruppe {2 (Mi 10-12 Andre)}
+\def \qname {Pascal Brackmann}
+\def \qmatrikel {108017113834}				%
+\def \uebung {9}								%
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+ % DO NOT MODIFY THIS HEADER
+\newcommand{\hwsol}{
+\vspace*{-2cm}
+\noindent \matrikel \quad \name \hfill \"Ubungsgruppe: \gruppe \\
+\noindent \pmatrikel \quad \pname \\
+\noindent \qmatrikel \quad \qname \\
+\begin{center}{\Large \bf L\"osung f\"ur \"Ubung \# \uebung}\end{center}
+}
+
+\begin{document}
+%Import header
+\hwsol
+
+\section*{Aufgabe 9.1}
+
+\begin{enumerate}[1.]
+
+    \item
+        \includegraphics[width=\textwidth]{build/school/di-ma/uebung/09/09_1.jpg}
+
+    \item $M_{perfekt} = \{\{1,5\}, \{2,7\}, \{3,8\}, \{4,6\}\}$
+
+        Es gibt kein weiteres perfektes Matching
+
+        $5$ und $8$ haben Grad 1, daher müssen die Kanten $\{1,5\}$ und $\{3,8\}$ im perfekten Matching vorkommen.
+
+        $\{1,6\}$ und $\{3,6\}$ können nicht mehr verwendet werden, da die Knoten $1$ und $3$ schon im Matching
+        vorkommen, also ist die einzige Kante, die von $6$ ausgehend im Matching vorkommt, $\{4,6\}$ sein.
+
+        $1,3,4,5,6,8$ kommen schon im Matching vor, es fehlen also nur noch $2$ und $7$ und damit die Kante $\{2,7\}$
+
+    \item $M_{maximal \land \lnot maximum} = \{\{1,4\}, \{2,7\}, \{3,6\}\}$
+
+\end{enumerate}
+
+\end{document}
diff --git a/school/di-ma/uebung/09/09_2.tex b/school/di-ma/uebung/09/09_2.tex
new file mode 100644
index 0000000..91331ec
--- /dev/null
+++ b/school/di-ma/uebung/09/09_2.tex
@@ -0,0 +1,70 @@
+\documentclass[12pt,a4paper,german]{article}
+\usepackage{url}
+%\usepackage{graphics}
+\usepackage{times}
+\usepackage[T1]{fontenc}
+\usepackage{ngerman}
+\usepackage{float}
+\usepackage{diagbox}
+\usepackage[utf8]{inputenc}
+\usepackage{geometry}
+\usepackage{amsfonts}
+\usepackage{amsmath}
+\usepackage{cancel}
+\usepackage{wasysym}
+\usepackage{csquotes}
+\usepackage{graphicx}
+\usepackage{epsfig}
+\usepackage{paralist}
+\usepackage{tikz}
+\geometry{left=2.0cm,textwidth=17cm,top=3.5cm,textheight=23cm}
+
+%%%%%%%%%% Fill out the the definitions %%%%%%%%%
+\def \name {Valentin Brandl}					%
+\def \matrikel {108018274494}				%
+\def \pname {Marvin Herrmann}				%
+\def \pmatrikel {108018265436}				%
+\def \gruppe {2 (Mi 10-12 Andre)}
+\def \qname {Pascal Brackmann}
+\def \qmatrikel {108017113834}				%
+\def \uebung {9}								%
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+ % DO NOT MODIFY THIS HEADER
+\newcommand{\hwsol}{
+\vspace*{-2cm}
+\noindent \matrikel \quad \name \hfill \"Ubungsgruppe: \gruppe \\
+\noindent \pmatrikel \quad \pname \\
+\noindent \qmatrikel \quad \qname \\
+\begin{center}{\Large \bf L\"osung f\"ur \"Ubung \# \uebung}\end{center}
+}
+
+\begin{document}
+%Import header
+\hwsol
+
+\section*{Aufgabe 9.2}
+
+\begin{enumerate}[1.]
+
+    \item Ein $K_n$ mit $n \equiv 0 \mod 2$ ($n$ ist gerade) hat 2 perfekte Matchings, die jeweils versetzt jede zweite
+        Kante des Kreises beinhalten
+
+        Für ein perfektes Matching muss gelten $|M| = \frac{|V|}{2}$. Für einen Kreis $K_n$ mit $n \equiv 1 \mod 2$ ($n$
+        ist ungerade) gilt $|V| = n$. Da $n$ ungerade existiert keine ganze Zahl $\frac{n}{2}$ $\Rightarrow$ es
+        existiert kein perfektes Matching.
+
+    \item
+        \begin{enumerate}[i)]
+            \item $M_1 = \{ \{000,100\}, \{001,101\}, \{010,110\}, \{011,111\} \}$
+            \item $M_2 = \{ \{000,001\}, \{100,101\}, \{010,011\}, \{110,111\} \}$
+            \item $M_3 = \{ \{000,010\}, \{001,011\}, \{100,110\}, \{101,111\} \}$
+        \end{enumerate}
+
+        Es gibt 3 perfekte Matchings.
+
+    \item $\{ \{000,100\}, \{001,101\}, \{110,111\}, \{010,011\} \}$
+
+\end{enumerate}
+
+\end{document}
diff --git a/school/di-ma/uebung/09/09_3.tex b/school/di-ma/uebung/09/09_3.tex
new file mode 100644
index 0000000..41943c5
--- /dev/null
+++ b/school/di-ma/uebung/09/09_3.tex
@@ -0,0 +1,79 @@
+\documentclass[12pt,a4paper,german]{article}
+\usepackage{url}
+%\usepackage{graphics}
+\usepackage{times}
+\usepackage[T1]{fontenc}
+\usepackage{ngerman}
+\usepackage{float}
+\usepackage{diagbox}
+\usepackage[utf8]{inputenc}
+\usepackage{geometry}
+\usepackage{amsfonts}
+\usepackage{amsmath}
+\usepackage{cancel}
+\usepackage{wasysym}
+\usepackage{csquotes}
+\usepackage{graphicx}
+\usepackage{epsfig}
+\usepackage{paralist}
+\usepackage{tikz}
+\geometry{left=2.0cm,textwidth=17cm,top=3.5cm,textheight=23cm}
+
+%%%%%%%%%% Fill out the the definitions %%%%%%%%%
+\def \name {Valentin Brandl}					%
+\def \matrikel {108018274494}				%
+\def \pname {Marvin Herrmann}				%
+\def \pmatrikel {108018265436}				%
+\def \gruppe {2 (Mi 10-12 Andre)}
+\def \qname {Pascal Brackmann}
+\def \qmatrikel {108017113834}				%
+\def \uebung {9}								%
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+ % DO NOT MODIFY THIS HEADER
+\newcommand{\hwsol}{
+\vspace*{-2cm}
+\noindent \matrikel \quad \name \hfill \"Ubungsgruppe: \gruppe \\
+\noindent \pmatrikel \quad \pname \\
+\noindent \qmatrikel \quad \qname \\
+\begin{center}{\Large \bf L\"osung f\"ur \"Ubung \# \uebung}\end{center}
+}
+
+\begin{document}
+%Import header
+\hwsol
+
+\section*{Aufgabe 9.3}
+
+\begin{enumerate}[1.]
+
+    \item
+        \begin{tabular}{|c|c|c|}
+            \hline
+            $eea(a,b)$ & $(d',x',y')$ & $(d,x,y)$ \\\hline\hline
+            $eea(84,15)$ & $(3,-1,2)$ & $(3,2,-11)$ \\\hline
+            $eea(15,9)$ & $(3,1,-1)$ & $(3,-1,2)$ \\\hline
+            $eea(9,6)$ & $(3,0,1)$ & $(3,1,-1)$ \\\hline
+            $eea(6,3)$ & $(3,1,0)$ & $(3,0,1)$ \\\hline
+            $eea(3,0)$ &  & $(3,1,0)$  \\\hline
+        \end{tabular}
+
+        $ggt(84,15) = 84 * 2 + 15 * (-11) = 3$
+
+    \item
+        \begin{tabular}{|c|c|c|}
+            \hline
+            $eea(a,b)$ & $(d',x',y')$ & $(d,x,y)$ \\\hline\hline
+            $eea(93,32)$ & $(1,10,-11)$ & $(1,-11,32)$ \\\hline
+            $eea(32,29)$ & $(1,-1,10)$ & $(1,10,-11)$ \\\hline
+            $eea(29,3)$ & $(1,1,-1)$ & $(1,-1,10)$ \\\hline
+            $eea(3,2)$ & $(1,0,1)$ & $(1,1,-1)$ \\\hline
+            $eea(2,1)$ & $(1,1,0)$ & $(1,0,1)$ \\\hline
+            $eea(1,0)$ &  & $(1,1,0)$ \\\hline
+        \end{tabular}
+
+        $ggt(93,32) = 93 * (-11) + 32 * 32 = 1$
+
+\end{enumerate}
+
+\end{document}
diff --git a/school/di-ma/uebung/09/09_4.tex b/school/di-ma/uebung/09/09_4.tex
new file mode 100644
index 0000000..1009fb1
--- /dev/null
+++ b/school/di-ma/uebung/09/09_4.tex
@@ -0,0 +1,75 @@
+\documentclass[12pt,a4paper,german]{article}
+\usepackage{url}
+%\usepackage{graphics}
+\usepackage{times}
+\usepackage[T1]{fontenc}
+\usepackage{ngerman}
+\usepackage{float}
+\usepackage{diagbox}
+\usepackage[utf8]{inputenc}
+\usepackage{geometry}
+\usepackage{amsfonts}
+\usepackage{amsmath}
+\usepackage{cancel}
+\usepackage{wasysym}
+\usepackage{csquotes}
+\usepackage{graphicx}
+\usepackage{epsfig}
+\usepackage{paralist}
+\usepackage{tikz}
+\geometry{left=2.0cm,textwidth=17cm,top=3.5cm,textheight=23cm}
+
+%%%%%%%%%% Fill out the the definitions %%%%%%%%%
+\def \name {Valentin Brandl}					%
+\def \matrikel {108018274494}				%
+\def \pname {Marvin Herrmann}				%
+\def \pmatrikel {108018265436}				%
+\def \gruppe {2 (Mi 10-12 Andre)}
+\def \qname {Pascal Brackmann}
+\def \qmatrikel {108017113834}				%
+\def \uebung {9}								%
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+ % DO NOT MODIFY THIS HEADER
+\newcommand{\hwsol}{
+\vspace*{-2cm}
+\noindent \matrikel \quad \name \hfill \"Ubungsgruppe: \gruppe \\
+\noindent \pmatrikel \quad \pname \\
+\noindent \qmatrikel \quad \qname \\
+\begin{center}{\Large \bf L\"osung f\"ur \"Ubung \# \uebung}\end{center}
+}
+
+\begin{document}
+%Import header
+\hwsol
+
+\section*{Aufgabe 9.4}
+
+\begin{itemize}[1.]
+
+    \item
+        \begin{align*}
+            15 * x &\equiv 6 &\mod 84 \\
+            \\
+            4 &= 2 * 84 - 11 * 15 \\
+            1 &= 2 * 28 - 11 * 5 \\
+            \Rightarrow x &= (-11) * 2 &\mod 84 \\
+            x &= (-11) * 2 + j * 28 \text{ mit } j \in \mathbb{Z} \\
+            \\
+            15 * 6 = 90 &\equiv 6 &\mod 84
+        \end{align*}
+
+    \item
+        \begin{align*}
+            32 * x &\equiv 2 &\mod 93 \\
+            \\
+            1 &= 32 * 32 - 11 * 93 \\
+            \Rightarrow x &= 32 * 2 &\mod 93 \\
+            x &= 32 * 2 + j * 93 \text{ mit } j \in \mathbb{Z} \\
+            \\
+            32 * (-29) = -928 &\equiv 2 &\mod 93
+        \end{align*}
+
+\end{itemize}
+
+\end{document}