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maths/lu_decomposition.py

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"""
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def lu_decomposition(matrix: list[list[float]]) -> tuple[list[list[float]], list[list[float]]]:
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def lu_decomposition(
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matrix: list[list[float]],
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) -> tuple[list[list[float]], list[list[float]]]:
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"""Perform LU decomposition on a square matrix.
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Decomposes the input matrix A into L (lower triangular) and U (upper

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