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HermiteDecomposition

可用

Hermite normal form decomposition (unimodular u with u.m == h) for integer matrices

HermiteDecomposition[m]
MatrixForm /@ HermiteDecomposition[IdentityMatrix[3]] → {MatrixForm[{{1, 0, 0}, {0, 1, 0}, {0, 0, 1}}], MatrixForm[{{1, 0, 0}, {0, 1, 0}, {0, 0, 1}}]}MatrixForm /@ HermiteDecomposition[IdentityMatrix[{3, 4}]] → {MatrixForm[{{1, 0, 0}, {0, 1, 0}, {0, 0, 1}}], MatrixForm[{{1, 0, 0, 0}, {0, 1, 0, 0}, {0, 0, 1, 0}}]}Last[HermiteDecomposition[a]] == Last[HermiteDecomposition[b]] → a == b

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