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

From ApCoCoAWiki

(Types section update.) |
(Example section update.) |
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</itemize> | </itemize> | ||

<example> | <example> | ||

− | Use R ::= | + | Use R ::= QQ[x]; |

LinBox.Det(Mat([[1,2],[0,5]])); | LinBox.Det(Mat([[1,2],[0,5]])); | ||

-- CoCoAServer: computing Cpu Time = 0 | -- CoCoAServer: computing Cpu Time = 0 | ||

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5 | 5 | ||

------------------------------- | ------------------------------- | ||

− | + | </example> | |

− | Use | + | <example> |

+ | Use ZZ[x]; | ||

LinBox.Det(Mat([[1,2],[1,4]])); | LinBox.Det(Mat([[1,2],[1,4]])); | ||

-- WARNING: Coeffs are not in a field | -- WARNING: Coeffs are not in a field |

## Revision as of 13:29, 23 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 ::= 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 -------------------------------