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

From ApCoCoAWiki

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<syntax>LinBox.Det(M:MAT):RAT, INT or ZMOD</syntax> | <syntax>LinBox.Det(M:MAT):RAT, INT or ZMOD</syntax> | ||

<description> | <description> | ||

+ | <em>Please note:</em> The function(s) explained on this page is/are using the <em>ApCoCoAServer</em>. You will have to start the ApCoCoAServer in order to use it/them. | ||

+ | <par/> | ||

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> | <itemize> |

## Revision as of 11:50, 24 April 2009

## LinBox.Det

Compute the determinant of a matrix.

### Syntax

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

### Description

*Please note:* The function(s) explained on this page is/are using the *ApCoCoAServer*. You will have to start the ApCoCoAServer in order to use it/them.

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 ::= QQ[x]; LinBox.Det(Mat([[1,2],[0,5]])); -- CoCoAServer: computing Cpu Time = 0 ------------------------------- 5 -------------------------------

#### Example

Use ZZ[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 -------------------------------