Linear maps preserving the Cullis determinant of $(n+1)\times n$ matrices

Authors

  • Alexander Guterman Bar-Ilan University Department of Mathematics Ramat-Gan, 5290002
  • Andrey Yurkov Bar-Ilan University Department of Mathematics Ramat-Gan, 5290002

DOI:

https://doi.org/10.5644/SJM.20.01.05

Keywords:

Cullis determinant, Linear preservers, Rectangular matrices

Abstract

In this paper we give an explicit description of linear maps preserving the Cullis determinant of rectangular matrices of the size $(n+1)\times n.$ Unlike the result about the ordinary determinant, it appears that linear preservers of Cullis determinant can be singular. We provide the corresponding examples and characterize the case when these maps are non-singular.

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References

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Published

02.08.2024

How to Cite

Guterman, A. ., & Yurkov, A. . (2024). Linear maps preserving the Cullis determinant of $(n+1)\times n$ matrices. Sarajevo Journal of Mathematics, 20(1), 47–59. https://doi.org/10.5644/SJM.20.01.05

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Articles