Difference between revisions of "ApCoCoA-1:LinBox.Det"
From ApCoCoAWiki
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<command> | <command> | ||
<title>LinBox.Det</title> | <title>LinBox.Det</title> | ||
| − | <short_description>the determinant of a matrix</short_description> | + | <short_description>Compute the determinant of a matrix.</short_description> |
<syntax> | <syntax> | ||
LinBox.Det(M:MAT) | LinBox.Det(M:MAT) | ||
Revision as of 16:34, 21 April 2009
LinBox.Det
Compute 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 -------------------------------
