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

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

2009-02-26

arxiv.org/abs/0902.4528v4

Linear Algebra Appl. 433-3 (2010), 618-624

Mathematics

Rings and Algebras

10 pages (minor corrections)

Scientific paper

10.1016/j.laa.2010.03.022

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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