Difference between revisions of "CoCoA:Rank"
From ApCoCoAWiki
(pushing XML rev. 1.46, again) |
(No difference)
|
Latest revision as of 10:02, 24 October 2007
Rank
rank of a module
Description
This function computes the rank of M. For a module M this is defined
as the vector space dimension of the subspace generated by the generators
of M over the quotient field of the base ring -- contrast this with the function NumComps which simply counts the number of components the module has.
Example
Use R ::= Q[x,y,z]; Rank(Module([x,y,z,0])); 1 ------------------------------- Rank(Module([[1,2,3],[2,4,6]])); 1 ------------------------------- Rank(Module([[1,2,3],[2,5,6]])); 2 -------------------------------
Syntax
Rank(M:MODULE):INT Rank(M:MAT):INT
<type>module</type>