Dense sets of diagonalizable matrices

Author:
D. J. Hartfiel

Journal:
Proc. Amer. Math. Soc. **123** (1995), 1669-1672

MSC:
Primary 15A18

MathSciNet review:
1264813

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Abstract: This paper provides necessary and sufficient conditions for a subspace of matrices to contain a dense set of matrices having distinct eigenvalues.

A well-known and useful result in linear algebra is that matrices with distinct eigenvalues are dense in the set of matrices. This result, however, does not hold for subspaces of matrices in general. For example, the subspace

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DOI:
https://doi.org/10.1090/S0002-9939-1995-1264813-7

Article copyright:
© Copyright 1995
American Mathematical Society