Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4598943 | Linear Algebra and its Applications | 2015 | 14 Pages |
Abstract
Necessary and sufficient conditions are given on matrices A, B and S Â , having entries in some field FF and suitable dimensions, such that the linear span of the terms AiSBjAiSBj over FF is equal to the whole matrix space.This result is then used to determine the cardinality of subsets of F[A]SF[B]F[A]SF[B] when FF is a finite field.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
G. Micheli, J. Rosenthal, P. Vettori,