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About: Null Space

Module by: Doug Daniels, Steven J. Cox. E-mail the authors

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Metadata

Name: Null Space
ID: m10293
Language: English (en)
Summary: This module defines the null space, shows an example of what one is, and describes how to find one given an arbitrary matrix.
Subject: Mathematics and Statistics, Science and Technology
Keywords: linear algebra, null, nullspace, space, unique, uniqueness
Document Type: -//CNX//DTD CNXML 0.5 plus MathML//EN
License: Creative Commons Attribution License CC-BY 1.0
Authors: Doug Daniels (cnx@ddaniels.cotse.net), Steven J. Cox (cox@rice.edu)
Copyright Holders: Doug Daniels (cnx@ddaniels.cotse.net), Steven J. Cox (cox@rice.edu)
Maintainers: Doug Daniels (cnx@ddaniels.cotse.net), Mark Barrett (markb@alumni.rice.edu), Steven J. Cox (cox@rice.edu)
Latest version: 2.9 (history)
First publication date: Aug 9, 2001 12:00 am GMT-5
Last revision to module: Aug 4, 2005 9:09 pm GMT-5
Module XML: m10293_2.9.cnxml

Version History

Version: 2.9 Aug 4, 2005 9:09 pm GMT-5 by Charlet Reedstrom
Changes: 
update to cnxml-0.5, fix typo, markup a couple inline math variables
Version: 2.8 Aug 2, 2002 12:00 am GMT-5 by (Unknown)
Changes: 
auditing this module.
Liqun
Version: 2.7 Jul 24, 2002 12:00 am GMT-5 by (Unknown)
Changes: 
Change the captical N to N script.
Liqun
Version: 2.6 Jul 19, 2002 12:00 am GMT-5 by (Unknown)
Changes: 
change the version to 0.4.
Liqun
Version: 2.5 Jan 9, 2002 12:00 am US/Central by (Unknown)
Changes: 
used Emacs to indent source code
Version: 2.4 Nov 7, 2001 12:00 am US/Central by Brent Hendricks
Changes: 
Sync with DB
Version: 2.3 Aug 24, 2001 12:00 am GMT-5 by (Unknown)
Changes: 
moved left null space material (the useful parts at least) over to the left null space module (m10292)
Version: 2.2 Aug 23, 2001 12:00 am GMT-5 by (Unknown)
Changes: 
changed &Nscr entities to presentation mathvariant="script" since &Nscr is not displaying
Version: 2.1 Aug 22, 2001 12:00 am GMT-5 by (Unknown)
Changes: 
initial draft
Version: 2.0 Aug 9, 2001 12:00 am GMT-5 by (Unknown)
Changes: 
Added initial template for new module m10293

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  • the authors' names: Doug Daniels, Steven Cox
  • the title of the work: Null Space
  • the Connexions URL where the work can be found: http://cnx.org/content/m10293/2.9/

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How to Cite and Attribute This Content

The following citation styles comply with the attribution requirements for the license (CC-BY 1.0) of this work:

American Chemical Society (ACS) Style Guide:

Daniels, D.; Cox, S. Null Space, Connexions Web site. http://cnx.org/content/m10293/2.9/, Aug 4, 2005.

American Medical Assocation (AMA) Manual of Style:

Daniels D, Cox S. Null Space [Connexions Web site]. August 4, 2005. Available at: http://cnx.org/content/m10293/2.9/.

American Psychological Assocation (APA) Publication Manual:

Daniels, D., & Cox, S. (2005, August 4). Null Space. Retrieved from the Connexions Web site: http://cnx.org/content/m10293/2.9/

Chicago Manual of Style (Bibliography):

Daniels, Doug, and Steven Cox. "Null Space." Connexions. August 4, 2005. http://cnx.org/content/m10293/2.9/.

Chicago Manual of Style (Note):

Doug Daniels and Steven Cox, "Null Space," Connexions, August 4, 2005, http://cnx.org/content/m10293/2.9/.

Chicago Manual of Style (Reference, in Author-Date style):

Daniels, D., & Cox, S. 2005. Null Space. Connexions, August 4, 2005. http://cnx.org/content/m10293/2.9/.

Modern Languages Association (MLA) Style Manual:

Daniels, Doug, and Steven Cox. Null Space. Connexions. 4 Aug. 2005 <http://cnx.org/content/m10293/2.9/>.