Mathematica > Mathematics and Algorithms > Matrices and Linear Algebra > Matrix Decompositions > HermiteDecomposition
Mathematica > Mathematics and Algorithms > Graphs & Networks > Graph Programming > Matrices and Linear Algebra > Matrix Decompositions > HermiteDecomposition
Mathematica > Visualization and Graphics > Graphs & Networks > Graph Programming > Matrices and Linear Algebra > Matrix Decompositions > HermiteDecomposition
BUILT-IN MATHEMATICA SYMBOL

HermiteDecomposition

HermiteDecomposition[m]
gives the Hermite normal form decomposition of an integer matrix .

Details and OptionsDetails and Options

  • The result is given in the form where is a unimodular matrix, is an upper-triangular matrix, and .

ExamplesExamplesopen allclose all

Basic Examples (1)Basic Examples (1)

Decompose m into a unimodular matrix u and an upper-triangular matrix r:

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The determinant of u is a unit:

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Scope (5)Scope (5)

Applications (1)Applications (1)

Properties & Relations (2)Properties & Relations (2)

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