ITM Web Conf.
Volume 36, 2021The 16th IMT-GT International Conference on Mathematics, Statistics and their Applications (ICMSA 2020)
|Number of page(s)||10|
|Published online||26 January 2021|
Rank 2 preservers on symmetric matrices with zero trace
Department of Mathematical and Data Science, Faculty of Computing and Information Technology, Tunku Abdul Rahman University College 53300 Kuala Lumpur, Malaysia
* Corresponding author: firstname.lastname@example.org
Let F be a field, V1 and V2 be vector spaces of matrices over F and let ρ be the rank function. If T :V1 → V2 is a linear map, and k a fixed positive integer, we say that T is a rank k preserver if for any matrix Aϵ, V1 ρ(A) = k implies ρ(T( A))= k . In this paper, we characterize those rank 2 preservers on symmetric matrices with zero trace under certain conditions.
© The Authors, published by EDP Sciences, 2021
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