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Products of Linear Transformations

  • Thomas Banchoff
  • John Wermer
Part of the Undergraduate Texts in Mathematics book series (UTM)

Abstract

Let A and B be two linear transformations. We define the transformation C which consists of A followed by B, i.e., if X is any vector
$$ C(X)\;{\rm{ = }}\;B(A(X)). $$
We write C = BA and we call C the product B times A.

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Copyright information

© Springer-Verlag New York, Inc. 1992

Authors and Affiliations

  • Thomas Banchoff
    • 1
  • John Wermer
    • 1
  1. 1.Department of MathematicsBrown UniversityProvidenceUSA

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