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About: Vector Space

Module by: Phil Schniter. E-mail the author

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Name: Vector Space
ID: m10419
Language: English (en)
Summary: This module introduces vector space.
Subject: Mathematics and Statistics, Science and Technology
Keywords: basis, direct sum, linear independence, span, subspace, vector
Document Type: -//CNX//DTD CNXML 0.5 plus MathML//EN
License: Creative Commons Attribution License CC-BY 1.0

Authors: Phil Schniter (
Copyright Holders: Phil Schniter (
Maintainers: Elizabeth Chan (, Phil Schniter (

Latest version: 2.13 (history)
First publication date: Dec 30, 2001 12:00 am -0600
Last revision to module: Oct 18, 2005 4:34 pm -0500


PDF: m10419_2.13.pdf PDF file, for viewing content offline and printing. Learn more.
XML: m10419_2.13.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: 2.13 Oct 18, 2005 4:34 pm -0500 by Charlet Reedstrom
update apply mo markup, add foreign tags

Version: 2.12 Jun 10, 2005 11:04 am -0500 by Elizabeth Gregory
Updated from CNXML 0.4 to CNXML 0.5

Version: 2.11 Jan 17, 2003 12:00 am -0600 by (Unknown)
fixed yet more math in this module - xor

Version: 2.10 Jan 15, 2003 12:00 am -0600 by (Unknown)
fixed way too much math, added missing material, changed/fixed tables

Version: 2.9 Dec 19, 2002 12:00 am -0600 by (Unknown)
change the metadata part.

Version: 2.8 Nov 15, 2002 12:00 am -0600 by (Unknown)
make some correction in forall.

Version: 2.7 Oct 28, 2002 12:00 am -0600 by (Unknown)
finish the correction.

Version: 2.6 Jul 29, 2002 12:00 am -0500 by (Unknown)
auditing this module.

Version: 2.5 Jan 29, 2002 12:00 am -0600 by (Unknown)
fixed author name spelling

Version: 2.4 Jan 25, 2002 12:00 am -0600 by (Unknown)
added eps

Version: 2.3 Jan 23, 2002 12:00 am -0600 by (Unknown)
corrected the author value of the metadata

Version: 2.2 Jan 15, 2002 12:00 am -0600 by (Unknown)
added section

Version: 2.1 Jan 14, 2002 12:00 am -0600 by (Unknown)
needs figures

Version: 2.0 Dec 30, 2001 12:00 am -0600 by (Unknown)
Added initial template for new module m10419

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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:

Schniter, P. Vector Space, OpenStax-CNX Web site., Oct 18, 2005.

American Medical Assocation (AMA) Manual of Style:

Schniter P. Vector Space [OpenStax-CNX Web site]. October 18, 2005. Available at:

American Psychological Assocation (APA) Publication Manual:

Schniter, P. (2005, October 18). Vector Space. Retrieved from the OpenStax-CNX Web site:

Chicago Manual of Style (Bibliography):

Schniter, Phil. "Vector Space." OpenStax-CNX. October 18, 2005.

Chicago Manual of Style (Note):

Phil Schniter, "Vector Space," OpenStax-CNX, October 18, 2005,

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

Schniter, P. 2005. Vector Space. OpenStax-CNX, October 18, 2005.

Modern Languages Association (MLA) Style Manual:

Schniter, Phil. Vector Space. OpenStax-CNX. 18 Oct. 2005 <>.