About this article
Published Online: Dec 30, 2015
Page range: 63 - 67
Received: Oct 12, 2014
DOI: https://doi.org/10.1515/aupcsm-2015-0005
© by Marcin Skrzyński
This work is licensed under the Creative Commons Attribution-ShareAlike 4.0 International License.
Let Mm×n(F) be the vector space of all m×n matrices over a field F. In the case where m ≥ n, char(F) ≠ 2 and F has at least five elements, we give a complete characterization of linear maps Φ: Mm×n(F) → Mm×n(F) such that spark(Φ(A)) = spark(A) for any A ∈Mm×n(F).