diff --git a/Schenk_Brandenberger_S8_Aufg1.pdf b/Schenk_Brandenberger_S8_Aufg1.pdf
new file mode 100644
index 0000000..44df81a
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diff --git a/Serie8_Aufg2_Gerüst.py b/Schenk_Brandenberger_S8_Aufg2.py
similarity index 63%
rename from Serie8_Aufg2_Gerüst.py
rename to Schenk_Brandenberger_S8_Aufg2.py
index 7bb4156..d4dafb5 100644
--- a/Serie8_Aufg2_Gerüst.py
+++ b/Schenk_Brandenberger_S8_Aufg2.py
@@ -14,10 +14,11 @@ Example: A = np.array([[1,2,-1],[4,-2,6],[3,1,0]])
 
 @author: knaa
 """
+import numpy as np
 
 def Serie8_Aufg2(A):
-    
-    import numpy as np
+    unknown = 0
+
     
     A = np.copy(A)                       #necessary to prevent changes in the original matrix A_in
     A = A.astype('float64')              #change to float
@@ -29,22 +30,34 @@ def Serie8_Aufg2(A):
     
     Q = np.eye(n)
     R = A
-    
+
     for j in np.arange(0,n-1):
-        a = np.copy(???).reshape(n-j,1)     
-        e = np.eye(???)[:,0].reshape(n-j,1)
+        a = np.copy(unknown).reshape(n-j,1)
+        e = np.eye(unknown)[:,0].reshape(n-j,1)
         length_a = np.linalg.norm(a)
-        if a[0] >= 0: sig = ???
-        else: sig = ??? 
-        v = ???
-        u = ???
-        H = ???
+        if a[0] >= 0: sig = unknown
+        else: sig = unknown
+        v = unknown
+        u = unknown
+        H = unknown
         Qi = np.eye(n)
-        Qi[j:,j:] = ???
-        R = ???
-        Q = ???
+        Qi[j:,j:] = unknown
+        R = unknown
+        Q = unknown
         
     return(Q,R)
 
 
+if __name__ == '__main__':
+    A = np.array([
+        [1, -2, 3],
+        [-5, 4, 1],
+        [2, -1, 3]
+    ])
+    b = np.array([
+        [1],
+        [9],
+        [5]
+    ])
 
+Serie8_Aufg2(A)
\ No newline at end of file
diff --git a/Schenk_Brandenberger_S8_Aufg3.pdf b/Schenk_Brandenberger_S8_Aufg3.pdf
new file mode 100644
index 0000000..34ed092
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