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Hermite basis

Computes the Hermite decomposition of a square matrix with integer coefficients. Given a square nonsingular integer matrix $A$ , there exists an $n \times n$ unimodular matrix $U$ and an $n \times n$ matrix $H$ (known as the Hermite normal form) such that $A U = H$ .

Syntax

hermite_basis(Matrix)

Description

Given a square matrix with integers coefficients, returns a list with two elements: the Hermite normal form $H$ and the unimodular matrix $U$ . Some options are available.

linear_algebra.hermite_basis.calc.png

Options

Below is a complete list of options that may be used in the hermite_basis function.

Option	Description	Format	Default value
method	We can choose the method to be used from the following: `columns`, `rows`.	`{method="rows"}`	`columns`

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