Published January 1961
| Published
Journal Article
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A Note on Systems of Linear Equations
- Creators
- Elliot, David L.
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 higher-dimensional linear manifold.
Additional Information
© 1961 SIAM. Received by the editors August 10, 1959.Attached Files
Published - ELLsiamr61.pdf
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- Eprint ID
- 34279
- Resolver ID
- CaltechAUTHORS:20120921-104034855
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2012-09-21Created from EPrint's datestamp field
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2021-11-09Created from EPrint's last_modified field