Difference between revisions of "ApCoCoA-1:LinBox.Det"
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<short_description>the determinant of a matrix</short_description> | <short_description>the determinant of a matrix</short_description> | ||
<syntax> | <syntax> | ||
Revision as of 08:50, 22 December 2008
LinBox.Det
the determinant of a matrix
Syntax
LinBox.Det(M:MAT) the resulting type depends on the entries of the matrix.
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.
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 -------------------------------
