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Add matrix inversion algorithm using NumPy #12657

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36 changes: 36 additions & 0 deletions linear_algebra/matrix_inversion.py
Original file line number Diff line number Diff line change
@@ -0,0 +1,36 @@
import numpy as np


def invert_matrix(matrix: list[list[float]]) -> list[list[float]]:
"""
Returns the inverse of a square matrix using NumPy.

Parameters:
matrix (list[list[float]]): A square matrix.

Returns:
list[list[float]]: Inverted matrix if invertible, else raises error.

>>> invert_matrix([[4.0, 7.0], [2.0, 6.0]])
[[0.6000000000000001, -0.7000000000000001], [-0.2, 0.4]]
>>> invert_matrix([[1.0, 2.0], [0.0, 0.0]])
Traceback (most recent call last):
...
ValueError: Matrix is not invertible
"""
np_matrix = np.array(matrix)

try:
inv_matrix = np.linalg.inv(np_matrix)
except np.linalg.LinAlgError:
raise ValueError("Matrix is not invertible")

return inv_matrix.tolist()


if __name__ == "__main__":
mat = [[4.0, 7.0], [2.0, 6.0]]
print("Original Matrix:")
print(mat)
print("Inverted Matrix:")
print(invert_matrix(mat))