Aleksander Grytczuk and Izabela Kurzydło

Notes on Number Theory and Discrete Mathematics, ISSN 1310-5132

Volume 17, 2011, Number 2, Page 4—11

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## 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 *X ^{n}* +

*Y*=

^{n}*Z*in the set of 2 × 2 rational matrices. We give some necessary condition of solvabillity of this equation.

^{n}### Keywords

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

### AMS Classification

- 15A24
- 15A42

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## Cite this paper

Grytczuk, A., & Kurzydło, I. (2011). Note on the matrix Fermat’s equation. Notes on Number Theory and Discrete Mathematics, 17(2), 4-11.