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Equivalence of Matrices. Reduction to Diagonal Form

  • Harold M. Edwards

Abstract

Consider the linear substitution
(1)
with matrix of coefficients This substitution is easy to invert. That is, while the substitution expresses x, y, and z in terms of a, b, and c, one can easily express a, b, and c in terms of x, y, and z; merely subtract the second equation of (1) from the first to find
or, in the format of a linear substitution,
(2)

Keywords

Identity Matrix Linear Algebra Diagonal Entry Nonzero Entry Successive Pair 
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

© Harold M. Edwards 1995

Authors and Affiliations

  • Harold M. Edwards
    • 1
  1. 1.Courant InstituteNew York UniversityNew YorkUSA

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