Note on the matrix Fermat’s equation

Aleksander Grytczuk and Izabela Kurzydło
Notes on Number Theory and Discrete Mathematics, ISSN 1310–5132
Volume 17, 2011, Number 2, Page 4–11
Full paper (PDF, 182 Kb)

Details

Authors and affiliations

Aleksander Grytczuk
Faculty of Mathematics, Computer Science and Econometrics,
University of Zielona Gora,
65-516 Zielona Gora, Poland

Izabela Kurzydło
Faculty of Mathematics, Computer Science and Econometrics,
University of Zielona Gora,
65-516 Zielona Gora, Poland

Abstract

We consider the Fermat’s equation Xⁿ + Yⁿ = Zⁿ in the set of 2 × 2 rational matrices. We give some necessary condition of solvabillity of this equation.

Keywords

• The matrix equation
• The matrix Fermat’s equation
• Powers of matrices

AMS Classification

• 15A24
• 15A42

References

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