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About: Vector Spaces

Module by: Clayton Scott

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Name: Vector Spaces
ID: m11075
Language: English (en)
Summary: This module introduces real and complex vector spaces, with examples. Notions of linear independence, linear span, basis, dimension, subspaces, and direct sums are covered.
Subject: Mathematics and Statistics, Science and Technology
Keywords: basis, dimension, linear combination, linearly independent, span, vector, vector spaces
Document Type: -//CNX//DTD CNXML 0.5 plus MathML//EN
License: Creative Commons Attribution License CC-BY 1.0
Authors: Clayton Scott (cscott@rice.edu)
Copyright Holders: Clayton Scott (cscott@rice.edu)
Maintainers: Clayton Scott (cscott@rice.edu)
Version: 2.3 (history)
Created: Mar 18, 2003 6:00 pm US/Central
Revised: Aug 1, 2005 9:01 pm GMT-5

Version History

Version: 2.3 Aug 1, 2005 9:01 pm GMT-5 by Charlet Reedstrom
Changes: 
update to cnxml-0.5, markup inline variables
Version: 2.2 Mar 20, 2003 12:00 am US/Central by Clayton Scott
Changes: 
Sample text
Version: 2.1 Mar 19, 2003 12:00 am US/Central by Clayton Scott
Changes: 
Added image of piecewise constant function
Version: 2.0 Mar 19, 2003 12:00 am US/Central by Clayton Scott
Changes: 
Copied content from Rice U. ELEC 301 module on vector spaces to serve as groundwork for this module.

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American Chemical Society (ACS) Style Guide:

Scott, C. Vector Spaces, Connexions Web site. http://cnx.org/content/m11075/2.3/, Aug 1, 2005.

American Medical Assocation (AMA) Manual of Style:

Scott C. Vector Spaces [Connexions Web site]. August 1, 2005. Available at: http://cnx.org/content/m11075/2.3/.

American Psychological Assocation (APA) Publication Manual:

Scott, C. (2005, August 1). Vector Spaces. Retrieved from the Connexions Web site: http://cnx.org/content/m11075/2.3/

Chicago Manual of Style (Bibliography):

Scott, Clayton. "Vector Spaces." Connexions. August 1, 2005. http://cnx.org/content/m11075/2.3/.

Chicago Manual of Style (Note):

Clayton Scott, "Vector Spaces," Connexions, August 1, 2005, http://cnx.org/content/m11075/2.3/.

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

Scott, C. 2005. Vector Spaces. Connexions, August 1, 2005. http://cnx.org/content/m11075/2.3/.

Modern Languages Association (MLA) Style Manual:

Scott, Clayton. Vector Spaces. Connexions. 1 Aug. 2005 <http://cnx.org/content/m11075/2.3/>.