Linear Transformations

  • Paul A. Fuhrmann
Part of the Universitext book series (UTX)


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.


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