ApCoCoA-1:LinBox.Det

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 ::= 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
-------------------------------

Det