diff --git a/Linear Algebra Refresher.md b/Linear Algebra Refresher.md
new file mode 100644
index 0000000..62fa50d
--- /dev/null
+++ b/Linear Algebra Refresher.md	
@@ -0,0 +1,16 @@
+Linear Algebra Refresher
+
+Addition von Vektoren
+
+$\left[ {\begin{array}{*{20}{c}}
+1\\
+2
+\end{array}} \right] + \left[ {\begin{array}{*{20}{c}}
+3\\
+1
+\end{array}} \right] = \left[ {\begin{array}{*{20}{c}}
+4\\
+3
+\end{array}} \right]$
+
+<img src="vektor_add.png" style="zoom:50%;" />
\ No newline at end of file
diff --git a/convert_pdf_to_png.sh b/convert_pdf_to_png.sh
new file mode 100644
index 0000000..88a79d1
--- /dev/null
+++ b/convert_pdf_to_png.sh
@@ -0,0 +1,5 @@
+!#/bin/bash
+
+pdfcrop $1 $2
+
+convert --density 300 $2 
\ No newline at end of file
diff --git a/vector.py b/vector.py
index 8c74354..3445546 100644
--- a/vector.py
+++ b/vector.py
@@ -11,10 +11,10 @@ class Vector(object):
 			self.dimension = len(coordinates)
 			
 		except ValueError:
-			raise ValueError('Die Koordinaten dürfen nicht leer sein')
+			raise ValueError('Die Koordinaten dürfen nicht leer sein')
 			
 		except TypeError:
-			raise TypeError('Die Koordinaten müssen iterierbar sein')
+			raise TypeError('Die Koordinaten müssen iterierbar sein')
 			
 			
 	def __str__(self):
@@ -43,7 +43,7 @@ class Vector(object):
 		return Vector(new_coordinates)
 		
 	def magnitude(self):
-			#Länge
+			#Länge
 		coordinates_squared = [x**2 for x in self.coordinates]
 		#pdb.set_trace()
 		return sqrt(sum(coordinates_squared))
@@ -72,7 +72,7 @@ print (vektor_2.minus(vektor_3))
 
 print (vektor_3.times_scalar(3))
 
-print ("Magnitude -- Länge ", vektor_3.magnitude())
+print ("Magnitude -- Länge ", vektor_3.magnitude())
 
 print ("Normalisieren ", vektor_2.normalized())
 
diff --git a/vektor_add.pdf b/vektor_add.pdf
new file mode 100644
index 0000000..c7856cc
Binary files /dev/null and b/vektor_add.pdf differ
diff --git a/vektor_add.png b/vektor_add.png
new file mode 100644
index 0000000..3092592
Binary files /dev/null and b/vektor_add.png differ
diff --git a/vektor_addition.pdf b/vektor_addition.pdf
new file mode 100644
index 0000000..a19049f
Binary files /dev/null and b/vektor_addition.pdf differ
diff --git a/vektor_addition.tex b/vektor_addition.tex
new file mode 100644
index 0000000..9e682fe
--- /dev/null
+++ b/vektor_addition.tex
@@ -0,0 +1,39 @@
+\documentclass[10pt]{article}
+\usepackage{pgf,tikz,pgfplots}
+\pgfplotsset{compat=1.15}
+\usepackage{mathrsfs}
+\usetikzlibrary{arrows}
+\pagestyle{empty}
+\begin{document}
+
+\begin{tikzpicture}[x=1cm,y=1cm]
+\begin{axis}[
+x=1cm,y=1cm,
+axis lines=middle,
+ymajorgrids=true,
+xmajorgrids=true,
+xmin=-0.5,
+xmax=7.5,
+ymin=-1,
+ymax=2.5,
+xtick={0,...,7},
+ytick={0,...,3},]
+\clip(-0.5327923283402358,-3.438438462661708) rectangle (7.550357053950259,3.4379509853468746);
+\draw [-latex,line width=1pt] (0,0) -- (5,0);
+\draw [-latex,line width=1pt] (0,0) -- (2,2);
+\draw [-latex,line width=1pt,color=red, dashed] (2,2) -- (7,2);
+\draw [-latex,line width=1pt,color=red, dashed] (5,0) -- (7,2);
+\draw [-latex,line width=1pt,color=blue] (0,0) -- (7,2);
+\begin{scriptsize}
+
+\draw[color=black] (2.55908371629915,-0.25) node {$\vec{y}$};
+
+\draw[color=black] (0.8,1.1993756042973518) node {$\vec{x}$};
+
+\draw[color=red] (4.315669182768639,2.3) node {$\vec{y}$};
+\draw[color=red] (6.45,1.142250873680458) node {$\vec{x}$};
+\draw[color=blue] (3.1,1.220797378278687) node {$\vec{x+y}$};
+\end{scriptsize}
+\end{axis}
+\end{tikzpicture}
+\end{document}
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