#11535: Linear dependence/independence of vectors
------------------------------+---------------------------------------------
Reporter: rbeezer | Owner: jason, was
Type: enhancement | Status: positive_review
Priority: minor | Milestone: sage-4.7.1
Component: linear algebra | Keywords:
Work_issues: | Upstream: N/A
Reviewer: Ivo Hedtke | Author: Rob Beezer
Merged: | Dependencies: #10746
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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.
>
> '''Depends:'''
> 1. #10746
>
> '''Apply:'''
> 1. [attachement:trac_11535-linear-dependence-vectors.patch]
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. [attachment:trac_11535-linear-dependence-vectors.patch]
--
Comment(by rbeezer):
Replying to [comment:2 hedtke]:
Ivo,
Many thanks for the review - this is being used a lot already in my linear
algebra textbook, so it's great to get it in now.
Rob
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/11535#comment:3>
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