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About: A Matrix Times a Vector

Module by: C. Sidney Burrus. E-mail the author

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Name: A Matrix Times a Vector
ID: m19559
Language: English (en)
Summary: One can look at the operation of a matrix times a vector as changing the basis set for the vector or as changing the vector with the same basis description. Many signal and systems problem can be posed in this form.
Subject: Mathematics and Statistics, Science and Technology, Social Sciences
Keywords: basis, Linear algebra, matrix, vector, vector space
License: Creative Commons Attribution License CC-BY 3.0
Authors: C. Sidney Burrus (csb@rice.edu)
Copyright Holders: C. Sidney Burrus (csb@rice.edu)
Maintainers: C. Sidney Burrus (csb@rice.edu), Daniel Williamson (dcwill@cnx.org)
Latest version: 1.7 (history)
First publication date: Jan 27, 2009 9:05 am -0600
Last revision to module: Dec 19, 2012 4:33 pm -0600

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Version History

Version: 1.7 Dec 19, 2012 4:33 pm -0600 by C. Sidney Burrus
Changes: 
importing new content
Version: 1.6 Sep 18, 2009 2:49 pm -0500 by Daniel Williamson
Changes: 
added google analytics tracking code
Version: 1.5 Sep 8, 2009 10:13 am -0500 by Daniel Williamson
Changes: 
fixed (())
Version: 1.4 Sep 7, 2009 12:39 pm -0500 by C. Sidney Burrus
Changes: 
Added section heading
Version: 1.3 Sep 6, 2009 9:40 pm -0500 by C. Sidney Burrus
Changes: 
added frame refs
Version: 1.2 Sep 3, 2009 10:32 pm -0500 by C. Sidney Burrus
Changes: 
added ref on Frames
Version: 1.1 Jan 27, 2009 10:48 am -0600 by C. Sidney Burrus
Changes: 
first published

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The following citation styles comply with the attribution requirements for the license (CC-BY 3.0) of this work:

American Chemical Society (ACS) Style Guide:

Burrus, C. A Matrix Times a Vector, Connexions Web site. http://cnx.org/content/m19559/1.7/, Dec 19, 2012.

American Medical Assocation (AMA) Manual of Style:

Burrus C. A Matrix Times a Vector [Connexions Web site]. December 19, 2012. Available at: http://cnx.org/content/m19559/1.7/.

American Psychological Assocation (APA) Publication Manual:

Burrus, C. (2012, December 19). A Matrix Times a Vector. Retrieved from the Connexions Web site: http://cnx.org/content/m19559/1.7/

Chicago Manual of Style (Bibliography):

Burrus, C.. "A Matrix Times a Vector." Connexions. December 19, 2012. http://cnx.org/content/m19559/1.7/.

Chicago Manual of Style (Note):

C. Burrus, "A Matrix Times a Vector," Connexions, December 19, 2012, http://cnx.org/content/m19559/1.7/.

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

Burrus, C. 2012. A Matrix Times a Vector. Connexions, December 19, 2012. http://cnx.org/content/m19559/1.7/.

Modern Languages Association (MLA) Style Manual:

Burrus, C.. A Matrix Times a Vector. Connexions. 19 Dec. 2012 <http://cnx.org/content/m19559/1.7/>.