Opened 10 years ago

Closed 10 years ago

#11535 closed enhancement (fixed)

Linear dependence/independence of vectors

Reported by: rbeezer Owned by: jason, was
Priority: minor Milestone: sage-4.7.2
Component: linear algebra Keywords:
Cc: Merged in: sage-4.7.2.alpha2
Authors: Rob Beezer Reviewers: Ivo Hedtke
Report Upstream: N/A Work issues:
Branch: Commit:
Dependencies: #10746 Stopgaps:

Status badges

Description (last modified by rbeezer)

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.


  1. #10746


  1. trac_11535-linear-dependence-vectors.patch

Attachments (1)

trac_11535-linear-dependence-vectors.patch (7.0 KB) - added by rbeezer 10 years ago.

Download all attachments as: .zip

Change History (6)

Changed 10 years ago by rbeezer

comment:1 Changed 10 years ago by rbeezer

  • Authors set to Rob Beezer
  • Dependencies set to #10746
  • Description modified (diff)
  • Status changed from new to needs_review

Patch depends #10746, which is merged in 4.7.1.alpha2.

comment:2 follow-up: Changed 10 years ago by hedtke

  • Reviewers set to Ivo Hedtke
  • Status changed from needs_review to positive_review
  • OK: works
  • OK doctest coverage: SCORE /sage/modules/ 96% (165 of 171) documentation for the new function is NOT missing
  • OK: long doctests
  • OK docbuild reference html
  • OK documentation of the new function is good, with many examples

comment:3 in reply to: ↑ 2 Changed 10 years ago by rbeezer

  • Description modified (diff)

Replying to hedtke:


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.


comment:4 Changed 10 years ago by jdemeyer

  • Milestone changed from sage-4.7.1 to sage-4.7.2

comment:5 Changed 10 years ago by jdemeyer

  • Merged in set to sage-4.7.2.alpha2
  • Resolution set to fixed
  • Status changed from positive_review to closed
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