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Symmetric Matrices in n Dimensions

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

Abstract

In the cases of dimensions 2 and 3, we have seen that a special role is played by symmetric matrices, those matrices that are equal to their own transposes. The same definition works in ℝ n for n ≥ 4, and as in the case of lower dimensions, these matrices have special properties that make them particularly valuable in the analysis of quadratic forms.

Keywords

Orthonormal Basis Characteristic Equation Linear Transformation Linear Algebra Unit Sphere 
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. 1992

Authors and Affiliations

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

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