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Matrices and Determinants

  • Morton L. Curtis
Chapter
  • 858 Downloads
Part of the Universitext book series (UTX)

Abstract

We have already noticed that a linear map ø: kk is completely determined by its value on one element of k, e.g., on 1. Also we noted that a linear map
$$ \varphi :k^2 \to k $$
is determined by φ(1,0) and φ(0,1). We Will now see how a linear map
$$ \varphi :V \to W $$
(V, W being vector over k of dimensions n, m) is determined by nm elements of k.

Keywords

Vector Space Unit Element Similar Matrice Real Vector Space Algebraic Multiplicity 
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 Science+Business Media New York 1990

Authors and Affiliations

  • Morton L. Curtis
    • 1
  1. 1.Department of MathematicsRice UniversityHoustonUSA

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