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About: Subspaces

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

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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 (, Steven J. Cox (
Copyright Holders: Doug Daniels (, Steven J. Cox (
Maintainers: Doug Daniels (, Mark Barrett (, Steven J. Cox (

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


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
update to cnxml-0.5, markup inline math

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

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

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

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

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

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

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  • the authors' names: Doug Daniels, Steven Cox
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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. Subspaces, OpenStax-CNX Web site., Aug 4, 2005.

American Medical Assocation (AMA) Manual of Style:

Daniels D, Cox S. Subspaces [OpenStax-CNX Web site]. August 4, 2005. Available at:

American Psychological Assocation (APA) Publication Manual:

Daniels, D., & Cox, S. (2005, August 4). Subspaces. Retrieved from the OpenStax-CNX Web site:

Chicago Manual of Style (Bibliography):

Daniels, Doug, and Steven Cox. "Subspaces." OpenStax-CNX. August 4, 2005.

Chicago Manual of Style (Note):

Doug Daniels and Steven Cox, "Subspaces," OpenStax-CNX, August 4, 2005,

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

Daniels, D., & Cox, S. 2005. Subspaces. OpenStax-CNX, August 4, 2005.

Modern Languages Association (MLA) Style Manual:

Daniels, Doug, and Steven Cox. Subspaces. OpenStax-CNX. 4 Aug. 2005 <>.