Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4599231 | Linear Algebra and its Applications | 2015 | 17 Pages |
Abstract
Hou et al. [4] have studied various spaces of magic squares over a field F and determined their dimensions. However, they left one open question unsolved, namely, if the characteristic of F is 2 or 3, exactly which n and k make Mn,k(1) nonempty, where Mn,k(1) denotes the set of all nÃn matrices over F whose row sums, column sums, k diagonal sums, and k antidiagonal sums are all 1. We solve this completely.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Wooseok Jung, Jon-Lark Kim, Yeonho Kim, Kisun Lee,