A note on preserving the spark of a matrix

Marcin Skrzyński

Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica (2015)

  • Volume: 14, page 63-67
  • ISSN: 2300-133X

Abstract

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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).

How to cite

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Marcin Skrzyński. "A note on preserving the spark of a matrix." Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica 14 (2015): 63-67. <http://eudml.org/doc/276421>.

@article{MarcinSkrzyński2015,
abstract = {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).},
author = {Marcin Skrzyński},
journal = {Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica},
language = {eng},
pages = {63-67},
title = {A note on preserving the spark of a matrix},
url = {http://eudml.org/doc/276421},
volume = {14},
year = {2015},
}

TY - JOUR
AU - Marcin Skrzyński
TI - A note on preserving the spark of a matrix
JO - Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica
PY - 2015
VL - 14
SP - 63
EP - 67
AB - 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).
LA - eng
UR - http://eudml.org/doc/276421
ER -

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