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Linear Algebra pp 125-145 | Cite as

Representing linear transformations by matrices

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

Abstract

Let us return now to the ideas we developed in Chapter 10 for representing a hnear transformation T : ℝ3 → ℝ3 by a 3 × 3 matrix. There is of course nothing sacred about ℝ3 and its standard basis as the following discussion will show.

Keywords

Linear Transformation Matrix Representation Standard Basis Linear Extension Invertible Matrice 
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. 1978

Authors and Affiliations

  • Larry Smith
    • 1
    • 2
  1. 1.Mathematisches InstitutUniversität GöttingenGöttingenWest Germany
  2. 2.Department of MathematicsIndiana UniversityBloomingtonUSA

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