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Linear Transformations

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

Abstract

Vector spaces and the algebra of vectors are interesting and useful mathematical tools, but the justification for their importance is that they serve as the arena for the study of linear transformations. Linear transformations are the fundamental objects of study in a basic linear algebra course. In this central chapter we introduce linear transformations and study their most basic properties, postponing detailed numerical examples and their more intensive study to the following chapters.

Keywords

Vector Space Linear Transformation Linear Subspace Linear Extension Dimension Formula 
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 Science+Business Media New York 1998

Authors and Affiliations

  • Larry Smith
    • 1
  1. 1.Mathematisches InstitutUniversität GöttingenGottingenGermany

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