Difference between revisions of "ApCoCoA-1:LinBox.Det"

From ApCoCoAWiki
(Key and see section update.)
(Types section update.)
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<see>Det</see>
 
<see>Det</see>
 
<types>
 
<types>
   <type>cocoaserver</type>
+
   <type>matrix</type>
 +
  <type>apcocoaserver</type>
 
</types>
 
</types>
 
<key>Det</key>
 
<key>Det</key>

Revision as of 11:25, 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 ::= 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
-------------------------------

Det