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

From ApCoCoAWiki

(Created the page) |
(Short description update.) |
||

Line 1: | Line 1: | ||

<command> | <command> | ||

<title>LinBox.Det</title> | <title>LinBox.Det</title> | ||

− | <short_description>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) |

## Revision as of 16:34, 21 April 2009

## LinBox.Det

Compute the determinant of a matrix.

### Syntax

LinBox.Det(M:MAT) the resulting type depends on the entries of the matrix.

### 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.

#### 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 -------------------------------