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Subspaces

  • Larry Smith
Part of the Undergraduate Texts in Mathematics book series (UTM)

Abstract

A nonempty subset U of a vector space V is called a linear subspace of V iff the following two conditions are satisfied:
  1. (1)

    if AU and BU then A + BU

     
  2. (2)

    if AV and r ∈ ℝ then rAV.

     

Keywords

Linear Combination Vector Space Linear Subspace Nonempty Subset Scalar Multiplication 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag New York Inc. 1984

Authors and Affiliations

  • Larry Smith
    • 1
  1. 1.Mathematisches InstitutUniversität GöttingenGöttingenWest Germany

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