82 lines
2.0 KiB
Python
82 lines
2.0 KiB
Python
from typing import List
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import math
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from tabulate import tabulate
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Matrix = List[List[float]]
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def matmul(Matrix_1: Matrix, Matrix_2: Matrix) -> Matrix:
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"""Multipliziert zwei Matrizen."""
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HeightA = len(Matrix_1)
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HeightB = len(Matrix_2)
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if HeightA == 0 or HeightB == 0:
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raise ValueError("Matrizen dürfen nicht leer sein")
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WidthA = len(Matrix_1[0])
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WidthB = len(Matrix_2[0])
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if WidthA != HeightB:
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raise ValueError("Multiplikation der Matrizen nicht zulässig (Spalten A != Zeilen B)")
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Matrix_3 = [[0.0 for _ in range(WidthB)] for _ in range(HeightA)]
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for i in range(HeightA):
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for j in range(WidthB):
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for k in range(WidthA):
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Matrix_3[i][j] += Matrix_1[i][k] * Matrix_2[k][j]
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return Matrix_3
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def transpose(matrix: Matrix) -> Matrix:
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"""Transponiert eine Matrix."""
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if not matrix:
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raise ValueError("Matrix darf nicht leer sein")
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rows = len(matrix)
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cols = len(matrix[0])
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if not all(len(row) == cols for row in matrix):
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raise ValueError("Matrix hat ungleichmäßige Zeilenlängen")
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transposed_matrix = [[0.0 for _ in range(rows)] for _ in range(cols)]
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for i in range(rows):
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for j in range(cols):
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transposed_matrix[j][i] = matrix[i][j]
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return transposed_matrix
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def rot_2D(angle_degrees: float) -> Matrix:
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"""Erstellt eine 2D-Rotationsmatrix für den gegebenen Winkel (in Grad)."""
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angle_radians = math.radians(angle_degrees)
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cos_theta = math.cos(angle_radians)
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sin_theta = math.sin(angle_radians)
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rotation_matrix = [
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[cos_theta, -sin_theta],
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[sin_theta, cos_theta]
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]
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return rotation_matrix
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if __name__ == "__main__":
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A = [[1, 2], [3, 4]]
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B = [[2, 0], [1, 2]]
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print("Matrixmultiplikation:")
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print(matmul(A, B))
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print("\nTransponierte Matrix:")
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print(transpose(A))
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print("\nRotationsmatrix (45°):")
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print(rot_2D(45))
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matrix= [[1,2,3], [2,3,4]]
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print("Matrix A:")
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print(tabulate(matrix)) |