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Finite-Dimensional Vector Spaces and Bases

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Linear Algebra

Part of the book series: Undergraduate Texts in Mathematics ((UTM))

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Abstract

If a vector space V contains a finite number of vectors A1,..., A n that span Vthen we say that V is finite-dimensional. Finite-dimensional vector spaces have particularly nice properties, and they provide a suitable background for the study of many linear phenomena.

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© 1998 Springer Science+Business Media New York

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Smith, L. (1998). Finite-Dimensional Vector Spaces and Bases. In: Linear Algebra. Undergraduate Texts in Mathematics. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-1670-4_6

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  • DOI: https://doi.org/10.1007/978-1-4612-1670-4_6

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4612-7238-0

  • Online ISBN: 978-1-4612-1670-4

  • eBook Packages: Springer Book Archive

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