Invariance of simultaneous similarity and equivalence of matrices under extension of the ground field
arXiv:0902.4528 · doi:10.1016/j.laa.2010.03.022
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.
arXiv comment10 pages (minor corrections)