#11535: Linear dependence/independence of vectors
------------------------------+---------------------------------------------
Reporter: rbeezer | Owner: jason, was
Type: enhancement | Status: needs_review
Priority: minor | Milestone: sage-4.7.1
Component: linear algebra | Keywords:
Work_issues: | Upstream: N/A
Reviewer: | Author: Rob Beezer
Merged: | Dependencies: #10746
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Changes (by newvalueoldvalue):
* status: new => needs_review
* dependencies: => #10746
* author: => Rob Beezer
Old description:
> This routine is really intended for instructional use. It makes it clear
> that linear independence is a property of a set of vectors from a vector
> space, thus its placement in the module code. It is much quicker for the
> experienced user to just ask for a kernel, but I intend to make this
> available to students for discussions of vector spaces in their own
> right, before discussing subspaces such as the kernel of a matrix. As a
> bonus, an empty set as a return value is equivalent to linear
> independence.
New description:
This routine is really intended for instructional use. It makes it clear
that linear independence is a property of a set of vectors from a vector
space, thus its placement in the module code. It is much quicker for the
experienced user to just ask for a kernel, but I intend to make this
available to students for discussions of vector spaces in their own right,
before discussing subspaces such as the kernel of a matrix. As a bonus,
an empty set as a return value is equivalent to linear independence.
'''Depends:'''
1. #10746
'''Apply:'''
1. [attachement:trac_11535-linear-dependence-vectors.patch]
--
Comment:
Patch depends #10746, which is merged in 4.7.1.alpha2.
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/11535#comment:1>
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