ApCoCoA-1:LinAlg.Det
From ApCoCoAWiki
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 -------------------------------
