Eigenvalues and Eigenvectors

  • Thomas S. Blyth
  • Edmund F. Robertson
Part of the Springer Undergraduate Mathematics Series book series (SUMS)

Abstract

Recall that an n × n matrix B is similar to an n × n matrix A if there is an invertible n × n matrix P such that B = P −1 AP. Our objective now is to determine under what conditions an n × n matrix is similar to a diagonal matrix. In so doing we shall draw together all of the notions that have been previously developed. Unless otherwise specified, A will denote an n × n matrix over ℝ or ℂ.

Keywords

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Copyright information

© Springer-Verlag London 1998

Authors and Affiliations

  • Thomas S. Blyth
    • 1
  • Edmund F. Robertson
    • 1
  1. 1.School of Mathematics and Computer ScienceUniversity of St AndrewsNorth Haugh, St AndrewsUK

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