ApCoCoA-1:LinBox.Det: Difference between revisions
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<command> | <command> | ||
<title>Det</title> | <title>LinBox.Det</title> | ||
<short_description>the determinant of a matrix</short_description> | <short_description>Computes the determinant of a matrix.</short_description> | ||
<syntax> | <syntax> | ||
LinBox.Det(M:MAT) | LinBox.Det(M:MAT):RAT, INT or ZMOD | ||
</syntax> | </syntax> | ||
<description> | <description> | ||
This function returns the determinant of the square matrix <tt>M</tt> computed by the ApCoCoAServer using LinBox functions. Please note that in contrary to the built in CoCoA <tt>Det</tt> function the entries of <tt>M</tt> are only allowed to be of type RAT, INT or ZMOD. The resulting type depends on the types of the entries of the matrix. | <em>Please note:</em> The function(s) explained on this page is/are using the <em>ApCoCoAServer</em>. You will have to start the ApCoCoAServer in order to use it/them. | ||
<par/> | |||
This function returns the determinant of the square matrix <tt>M</tt> computed by the ApCoCoAServer using LinBox functions. Please note that in contrary to the built in CoCoA <tt>Det</tt> function the entries of <tt>M</tt> are only allowed to be of type <tt>RAT</tt>, <tt>INT</tt> or <tt>ZMOD</tt>. The resulting type depends on the types of the entries of the matrix. | |||
<itemize> | |||
<item>@param <em>M</em> A square matrix whose components are either of type <tt>INT</tt>, <tt>RAT</tt> or <tt>ZMOD</tt>.</item> | |||
<item>@return The determinant of <tt>A</tt>.</item> | |||
</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 | ||
| Line 17: | Line 22: | ||
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 | ||
| Line 31: | Line 37: | ||
------------------------------- | ------------------------------- | ||
</example> | </example> | ||
</description> | </description> | ||
<see>Det</see> | |||
<types> | <see>ApCoCoA-1:Introduction to CoCoAServer|Introduction to CoCoAServer</see> | ||
<see>ApCoCoA-1:LinAlg.Det|LinAlg.Det</see> | |||
</types> | <see>ApCoCoA-1:Det|Det</see> | ||
<key> | <types> | ||
<key> | <type>matrix</type> | ||
<key> | <type>apcocoaserver</type> | ||
</types> | |||
<key>Det</key> | |||
<key>LinBox.Det</key> | |||
<key>linbox.Det</key> | |||
<key>determinant</key> | |||
<wiki-category>ApCoCoA-1:Package_linbox</wiki-category> | |||
</command> | </command> | ||
Latest revision as of 10:11, 7 October 2020
| This article is about a function from ApCoCoA-1. |
LinBox.Det
Computes the determinant of a matrix.
Syntax
LinBox.Det(M:MAT):RAT, INT or ZMOD
Description
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.
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 -------------------------------
