A note on preserving the spark of a matrix
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).
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | deu |
| Published: |
Wydawnictwo Naukowe Uniwersytetu Pedagogicznego
2015-05-01
|
| Series: | Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica |
| Subjects: | |
| Online Access: | http://studmath.up.krakow.pl/index.php/studmath/article/view/185 |