ApCoCoA-1:LinAlg.Det

This article is about a function from ApCoCoA-1.

LinAlg.Det

Computes the determinant of a matrix.

Syntax

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

-------------------------------
5
-------------------------------

Example

Use ZZ[x];
LinAlg.Det(Mat([[1,2],[1,4]]));

-------------------------------
2
-------------------------------

Introduction to CoCoAServer

LinBox.Det

Det