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arXiv · 0902.4528

Invariance of simultaneous similarity and equivalence of matrices under extension of the ground field

Clement de Seguins Pazzis
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Abstract

We give a new and elementary proof that simultaneous similarity and simultaneous equivalence of families of matrices are invariant under extension of the ground field, a result which is non-trivial for finite fields and first appeared in a paper of Klinger and Levy.

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Clement de Seguins Pazzis. 2009-02-26. Invariance of simultaneous similarity and equivalence of matrices under extension of the ground field. https://doi.org/10.1016/j.laa.2010.03.022

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