ApCoCoA-1:LinBox.Det: Difference between revisions
From ApCoCoAWiki
Types section update. |
Example section update. |
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</itemize> | </itemize> | ||
<example> | <example> | ||
Use R ::= | Use R ::= QQ[x]; | ||
LinBox.Det(Mat([[1,2],[0,5]])); | LinBox.Det(Mat([[1,2],[0,5]])); | ||
-- CoCoAServer: computing Cpu Time = 0 | -- CoCoAServer: computing Cpu Time = 0 | ||
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5 | 5 | ||
------------------------------- | ------------------------------- | ||
</example> | |||
Use | <example> | ||
Use ZZ[x]; | |||
LinBox.Det(Mat([[1,2],[1,4]])); | LinBox.Det(Mat([[1,2],[1,4]])); | ||
-- WARNING: Coeffs are not in a field | -- WARNING: Coeffs are not in a field | ||
Revision as of 13:29, 23 April 2009
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 ::= QQ[x]; LinBox.Det(Mat([[1,2],[0,5]])); -- CoCoAServer: computing Cpu Time = 0 ------------------------------- 5 -------------------------------
Example
Use ZZ[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 -------------------------------
