| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4599936 | Linear Algebra and its Applications | 2013 | 13 Pages |
Abstract
Let M2(Fq) be the ring of 2-by-2 matrices with coefficients in a finite field Fq and let Λ2(Fq) be the subset of M2(Fq) of symmetric matrices. In [4], M. Kuroda determined the number of solutions (Xi) for the equation , (B,Xi∈M2(Fq)). In this paper, we consider the problem for B,Xi∈Λ2(Fq) and give a complete formula for the number of solutions of the equation. In the process, we also give an Fq-form of Λn(Fq) for any n.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
