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LUDecomposition

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LU decomposition with partial pivoting. Wolfram returns the separate lower- and

LUDecomposition[m]
LUDecomposition[{{0, 1}, {1, 0}}] → {LowerTriangularMatrix[StructuredArray`StructuredData[{2, 2}, {{1, 0}, {0, 1}}]], UpperTriangularMatrix[StructuredArray`StructuredData[{2, 2}, {{1, 0}, {0, 1}}]], PermutationMatrix[StructuredArray`StructuredData[{2, 2}, {Cycles[{{1, 2}}], Infinity}]], 0}LUDecomposition[{{1., 3.}, {2., 1.}}] → {LowerTriangularMatrix[StructuredArray`StructuredData[{2, 2}, {{1., 0.}, {0.5, 1.}}]], UpperTriangularMatrix[StructuredArray`StructuredData[{2, 2}, {{2., 1.}, {0., 2.5}}]], PermutationMatrix[StructuredArray`StructuredData[{2, 2}, {Cycles[{{1, 2}}], Infinity}]], 3.2}

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