# Difference between revisions of "ApCoCoA-1:LinBox.Det"

From ApCoCoAWiki

(Short description update.) |
(Added parameter and return value list.) |
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<short_description>Compute the determinant of a matrix.</short_description> | <short_description>Compute the determinant of a matrix.</short_description> | ||

<syntax> | <syntax> | ||

− | LinBox.Det(M:MAT) | + | LinBox.Det(M:MAT):RAT, INT or ZMOD |

− | |||

− | |||

</syntax> | </syntax> | ||

<description> | <description> | ||

This function returns the determinant of the square matrix <tt>M</tt> computed by the ApCoCoAServer using LinBox functions. Please note that in contrary to the built in CoCoA <tt>Det</tt> function the entries of <tt>M</tt> are only allowed to be of type RAT, INT or ZMOD. The resulting type depends on the types of the entries of the matrix. | This function returns the determinant of the square matrix <tt>M</tt> computed by the ApCoCoAServer using LinBox functions. Please note that in contrary to the built in CoCoA <tt>Det</tt> function the entries of <tt>M</tt> are only allowed to be of type RAT, INT or ZMOD. The resulting type depends on the types of the entries of the matrix. | ||

− | + | <itemize> | |

+ | <item>@param <em>M</em> A square matrix whose components are either of type INT, RAT or ZMOD.</item> | ||

+ | <item>@return The determinant of A.</item> | ||

+ | </itemize> | ||

<example> | <example> | ||

Use R ::= Q[x]; | Use R ::= Q[x]; |

## Revision as of 17:25, 22 April 2009

## LinBox.Det

Compute the determinant of a matrix.

### Syntax

LinBox.Det(M:MAT):RAT, INT or ZMOD

### Description

This function returns the determinant of the square matrix `M` computed by the ApCoCoAServer using LinBox functions. Please note that in contrary to the built in CoCoA `Det` function the entries of `M` are only allowed to be of type RAT, INT or ZMOD. The resulting type depends on the types of the entries of the matrix.

@param

*M*A square matrix whose components are either of type INT, RAT or ZMOD.@return The determinant of A.

#### Example

Use R ::= Q[x]; LinBox.Det(Mat([[1,2],[0,5]])); -- CoCoAServer: computing Cpu Time = 0 ------------------------------- 5 ------------------------------- Use Z[x]; LinBox.Det(Mat([[1,2],[1,4]])); -- WARNING: Coeffs are not in a field -- GBasis-related computations could fail to terminate or be wrong ------------------------------- -- WARNING: Coeffs are not in a field -- GBasis-related computations could fail to terminate or be wrong -- CoCoAServer: computing Cpu Time = 0 ------------------------------- 2 -------------------------------