A Combinatorial Result on Block Matrices
Combinatorics
2009-08-04 v1
Abstract
Given a matrix with partitions of its rows and columns and entries from a field, we give the necessary and sufficient conditions that it has a non--singular submatrix with certain number of rows from each row partition and certain number of columns from each column partition.
Cite
@article{arxiv.0908.0042,
title = {A Combinatorial Result on Block Matrices},
author = {S. M. Sadegh Tabatabaei Yazdi and Serap A. Savari},
journal= {arXiv preprint arXiv:0908.0042},
year = {2009}
}
Comments
4 pages