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Linear Transformations

  • Paul A. Fuhrmann
Chapter
  • 3.4k Downloads
Part of the Universitext book series (UTX)

Abstract

The study of linear transformations, and their structure, provides the core of linear algebra. We shall study matrix representations of linear transformations, linear functionals, and duality and the adjoint transformation. To conclude, we show how a linear transformation in a vector space induces a module structure over the corresponding ring of polynomials. This simple construction opens the possibility of using general algebraic results as a tool for the study of linear transformations.

Keywords

Injective Linear Transformation Adjoint Transformation Linear Functionals Abstract Vector Space Simple Matrix Representation 
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.

Copyright information

© Springer Science+Business Media, LLC 2012

Authors and Affiliations

  • Paul A. Fuhrmann
    • 1
  1. 1.Ben-Gurion University of the NegevBeer ShevaIsrael

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