Elliot, David L. (1961) A Note on Systems of Linear Equations. SIAM Review, 3 (1). pp. 6669. ISSN 00361445. http://resolver.caltech.edu/CaltechAUTHORS:20120921104034855

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Abstract
This note is a comment on reference [1] and a generalization of the method there presented. We consider a system of m linear equations in n unknowns x_1, x_2,...x_n (1) Σ^(n)_(j=1) a_(ij)x_j = c_i i=1, 2,...m, a_(ij), c_i real or A∙x=c in matrix notation. We distinguish three cases: (I) There is no finite vector x satisfying (1) (inconsistent case); (II) There is a unique vector x satisfying (1); (III) There are an infinity of vectors x satisfying (1), such that their endpoints lie on some line, plane, or higherdimensional linear manifold.
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Additional Information:  © 1961 SIAM. Received by the editors August 10, 1959.  
Record Number:  CaltechAUTHORS:20120921104034855  
Persistent URL:  http://resolver.caltech.edu/CaltechAUTHORS:20120921104034855  
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ID Code:  34279  
Collection:  CaltechAUTHORS  
Deposited By:  Jason Perez  
Deposited On:  21 Sep 2012 19:31  
Last Modified:  26 Dec 2012 16:14 
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