Linear Algebra pp 125-145 | Cite as

Representing linear transformations by matrices

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


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.


Linear Transformation Matrix Representation Standard Basis Linear Extension Invertible Matrice 
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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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