From 156ccd783bb8a10539b3b5300ea9f6398ddaca71 Mon Sep 17 00:00:00 2001
From: zimmersandro <sandro.zimmermann@stud.fhgr.ch>
Date: Sun, 15 Mar 2026 12:22:31 +0100
Subject: [PATCH] syle: run black formatter and changed comment description

---
 src/lineare_algebra/task3.py | 42 ++++++++++++++++++------------------
 1 file changed, 21 insertions(+), 21 deletions(-)

diff --git a/src/lineare_algebra/task3.py b/src/lineare_algebra/task3.py
index cae43af..e413f69 100644
--- a/src/lineare_algebra/task3.py
+++ b/src/lineare_algebra/task3.py
@@ -1,12 +1,12 @@
-#%%
+# %%
 import numpy as np
 import sympy as sp
 from IPython.display import display, Math
 
-#%%
+# %%
 # Parameter
-A = np.array([[1,3,-1],[4,-2,8]])
-B = np.array([[-3,9,3],[-6,6,3]])
+A = np.array([[1, 3, -1], [4, -2, 8]])
+B = np.array([[-3, 9, 3], [-6, 6, 3]])
 
 # Layout
 print(60 * "-")
@@ -14,20 +14,20 @@ print("Aufgabe 3. Matrizen berechnen (Numpy)")
 print(__file__)
 print(60 * "-")
 
-#Berechnung
-C=A+B
-D=-2*A
-E=(1/3)*B
-F=2*B-A
+# Berechnung
+C = A + B
+D = -2 * A
+E = (1 / 3) * B
+F = 2 * B - A
 
-#Ausgabe
+# Ausgabe
 print(f"C = {C}")
 print(f"D = {D}")
 print(f"E = {E}")
 print(f"F = {F}")
 print(60 * "-")
 
-#%%
+# %%
 # Parameters
 A = sp.Matrix([[1, 3, -1], [4, -2, 8]])
 B = sp.Matrix([[-3, 9, 3], [-6, 6, 3]])
@@ -41,10 +41,10 @@ print("-" * 60)
 # Berechnung
 C = A + B
 D = -2 * A
-E = sp.Rational(1, 3) * B   # ← keeps fractions exact, e.g. 1 not 0.333...
+E = sp.Rational(1, 3) * B  # ← keeps fractions exact, e.g. 1 not 0.333...
 F = 2 * B - A
 
-# Ausgabe – symbolic, paper-style
+# Ausgabe, symbolisch
 for name, matrix in [("C", C), ("D", D), ("E", E), ("F", F)]:
     display(Math(rf"{name} = {sp.latex(matrix)}"))
 
@@ -52,10 +52,10 @@ print("-" * 60)
 
 # %%
 # Parameters
-A = sp.Matrix([[4,-3,2],[6,2,5],[-1,-2,3]])
-B = sp.Matrix([[3,4],[1,2],[5,6]])
-u = sp.Matrix([0,2,-4])
-v = sp.Matrix([1,3,-3])
+A = sp.Matrix([[4, -3, 2], [6, 2, 5], [-1, -2, 3]])
+B = sp.Matrix([[3, 4], [1, 2], [5, 6]])
+u = sp.Matrix([0, 2, -4])
+v = sp.Matrix([1, 3, -3])
 
 # Layout
 print("-" * 60)
@@ -68,13 +68,13 @@ berechnungen = [
     ("a", lambda: A * B),
     ("b", lambda: B * A),
     ("c", lambda: A * u),
-    ("d", lambda: A ** 2),
+    ("d", lambda: A**2),
     ("e", lambda: B * B),
     ("f", lambda: v.T * u),
     ("g", lambda: v * u),
-    ("h", lambda:u * v.T),
+    ("h", lambda: u * v.T),
     ("i", lambda: B.T * v),
-    ("j", lambda: v.T * B)
+    ("j", lambda: v.T * B),
 ]
 
 for name, berechnung in berechnungen:
@@ -82,4 +82,4 @@ for name, berechnung in berechnungen:
         result = berechnung()
         display(Math(rf"{name} = {sp.latex(result)}"))
     except Exception as e:
-        display(Math(rf"{name} = \text{{Fehler: }} \text{{{e}}}"))
\ No newline at end of file
+        display(Math(rf"{name} = \text{{Fehler: }} \text{{{e}}}"))