| Autor: |
FillMore, P., Laurie, C., Radjavi, H. |
| Zdroj: |
Linear and Multilinear Algebra; January 1985, Vol. 18 Issue: 3 p255-266, 12p |
| Abstrakt: |
Let g be a linear space of n×n matrices of determinant zero over an infinite (or suitably large finite) field. It is proved that if the dimension of. L exceeds n2-2n+2, then either L or its transpose has a common null vector. This extends a result due to Dieudonne and solves a recent research problem posed by S. Pierce in this journal. We also consider the problem of classifying all maximal matrix spaces with zero determinant, and offer some examples and observations. |
| Databáze: |
Supplemental Index |
| Externí odkaz: |
|
