ApCoCoA-1:LinBox.Det

From ApCoCoAWiki
Revision as of 10:11, 7 October 2020 by AndraschkoBot (talk | contribs) (insert version info)
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
This article is about a function from ApCoCoA-1.

LinBox.Det

Computes 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
-------------------------------

Introduction to CoCoAServer

LinAlg.Det

Det