# Difference between revisions of "Package hermite/HNF.SolveDioph"

From ApCoCoAWiki

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<command> | <command> | ||

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− | <short_description> | + | <short_description>This function solves linear systems of equations over the integers. </short_description> |

<syntax>HNF.SolveDioph(A:MAT, B:MAT>):LIST</syntax> | <syntax>HNF.SolveDioph(A:MAT, B:MAT>):LIST</syntax> |

## Latest revision as of 15:05, 7 November 2020

## HNF.SolveDioph

This function solves linear systems of equations over the integers.

### Syntax

HNF.SolveDioph(A:MAT, B:MAT>):LIST

### Description

Computes a solution of the linear system AX=B. If only one argument A is given then the function computes a basis of the solution space of the homogeneous system AX=0.

@param

`A`integer matrix of dimension nxm@param

`B`(optional) integer matrix of dimension mx1@return a solution or basis of the solution space if system is homogeneous

#### Example

<<first example>>

#### Example

<<second example>>