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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

Diagonal Matrix Characteristic Polynomial Invertible Matrix Distinct Eigenvalue Fibonacci Sequence 
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 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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