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> | + | <short_description>Computes the determinant of a matrix.</short_description> |
| − | <syntax>LinBox.Det(M:MAT):RAT, INT or ZMOD</syntax> | + | |
| + | <syntax> | ||
| + | LinBox.Det(M:MAT):RAT, INT or ZMOD | ||
| + | </syntax> | ||
<description> | <description> | ||
<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. | <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/> | <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 RAT, INT or ZMOD. The resulting type depends on the types of the entries of the matrix. | + | 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> | <itemize> | ||
| − | <item>@param <em>M</em> A square matrix whose components are either of type INT, RAT or ZMOD.</item> | + | <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 A.</item> | + | <item>@return The determinant of <tt>A</tt>.</item> |
</itemize> | </itemize> | ||
<example> | <example> | ||
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</example> | </example> | ||
</description> | </description> | ||
| − | <see>Det</see> | + | |
| + | <see>ApCoCoA-1:Introduction to CoCoAServer|Introduction to CoCoAServer</see> | ||
| + | <see>ApCoCoA-1:LinAlg.Det|LinAlg.Det</see> | ||
| + | <see>ApCoCoA-1:Det|Det</see> | ||
<types> | <types> | ||
<type>matrix</type> | <type>matrix</type> | ||
| Line 43: | Line 50: | ||
<key>linbox.Det</key> | <key>linbox.Det</key> | ||
<key>determinant</key> | <key>determinant</key> | ||
| − | <wiki-category>Package_linbox</wiki-category> | + | <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 -------------------------------
