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Computes the determinant of a matrix.
LinBox.Det(M:MAT):RAT, INT or ZMOD
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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.
Use R ::= QQ[x];
LinBox.Det(Mat([[1,2],[0,5]]));
-- CoCoAServer: computing Cpu Time = 0
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5
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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
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-- WARNING: Coeffs are not in a field
-- GBasis-related computations could fail to terminate or be wrong
-- CoCoAServer: computing Cpu Time = 0
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2
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