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About: Subspaces

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

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Metadata

Name: Subspaces
ID: m10297
Language: English (en)
Summary: This module defines subspaces, span, linear independence, bases and dimension.
Subject: Mathematics and Statistics, Science and Technology
Keywords: basis, dimension, gauss, gaussian, gaussian elimination, linear independence, matrix, matrix methods, matrix reduction, operations, span, subspace
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: 2.6 (history)
First publication date: Aug 9, 2001 12:00 am +0000
Last revision to module: Aug 4, 2005 9:30 pm +0000

Downloads

PDF: m10297_2.6.pdf PDF file, for viewing content offline and printing. Learn more.
XML: m10297_2.6.cnxml XML that defines the structure and contents of the module, minus any included media files. Can be reimported in the editing interface. Learn more.

Version History

Version: 2.6 Aug 4, 2005 9:30 pm +0000 by Charlet Reedstrom
Changes:
update to cnxml-0.5, markup inline math

Version: 2.5 Aug 2, 2002 12:00 am +0000 by (Unknown)
Changes:
auditing this module
Liqun

Version: 2.4 Jul 19, 2002 12:00 am +0000 by (Unknown)
Changes:
change the version to 0.4.
Liqun

Version: 2.3 Jan 9, 2002 12:00 am +0000 by (Unknown)
Changes:
used Emacs to indent source code

Version: 2.2 Nov 8, 2001 12:00 am +0000 by (Unknown)
Changes:
no changes made

Version: 2.1 Aug 23, 2001 12:00 am +0000 by (Unknown)
Changes:
initial draft

Version: 2.0 Aug 9, 2001 12:00 am +0000 by (Unknown)
Changes:
Added initial template for new module m10297

How to Reuse and Attribute This Content

If you derive a copy of this content using a OpenStax-CNX account and publish your version, proper attribution of the original work will be automatically done for you.

If you reuse this work elsewhere, in order to comply with the attribution requirements of the license (CC-BY 1.0), you must include

  • the authors' names: Doug Daniels, Steven Cox
  • the title of the work: Subspaces
  • the OpenStax-CNX URL where the work can be found: http://cnx.org/content/m10297/2.6/

See the citation section below for examples you can copy.

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. Subspaces, OpenStax-CNX Web site. http://cnx.org/content/m10297/2.6/, Aug 4, 2005.

American Medical Assocation (AMA) Manual of Style:

Daniels D, Cox S. Subspaces [OpenStax-CNX Web site]. August 4, 2005. Available at: http://cnx.org/content/m10297/2.6/.

American Psychological Assocation (APA) Publication Manual:

Daniels, D., & Cox, S. (2005, August 4). Subspaces. Retrieved from the OpenStax-CNX Web site: http://cnx.org/content/m10297/2.6/

Chicago Manual of Style (Bibliography):

Daniels, Doug, and Steven Cox. "Subspaces." OpenStax-CNX. August 4, 2005. http://cnx.org/content/m10297/2.6/.

Chicago Manual of Style (Note):

Doug Daniels and Steven Cox, "Subspaces," OpenStax-CNX, August 4, 2005, http://cnx.org/content/m10297/2.6/.

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

Daniels, D., & Cox, S. 2005. Subspaces. OpenStax-CNX, August 4, 2005. http://cnx.org/content/m10297/2.6/.

Modern Languages Association (MLA) Style Manual:

Daniels, Doug, and Steven Cox. Subspaces. OpenStax-CNX. 4 Aug. 2005 <http://cnx.org/content/m10297/2.6/>.