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On the Abstract Properties of Linear Dependence1

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Classic Papers in Combinatorics

Part of the book series: Modern Birkhäuser Classics ((MBC))

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Abstract

Let C1 , C2 ,· · · ,Cm be the columns of a matrix M. Any subset of these columns is either linearly independent or linearly dependent; the subsets thus fall into two classes. These classes are not arbitrary; for instance, the two following theorems must hold

1Presented to the American Mathematical Society, September, 1934.

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© 2009 Birkhäuser Boston, a part of Springer Science+Business Media, LLC

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Whitney, H. (2009). On the Abstract Properties of Linear Dependence1. In: Gessel, I., Rota, GC. (eds) Classic Papers in Combinatorics. Modern Birkhäuser Classics. Birkhäuser Boston. https://doi.org/10.1007/978-0-8176-4842-8_5

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  • DOI: https://doi.org/10.1007/978-0-8176-4842-8_5

  • Publisher Name: Birkhäuser Boston

  • Print ISBN: 978-0-8176-4841-1

  • Online ISBN: 978-0-8176-4842-8

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