On two questions about quaternion matrices

Authors
Citation
Lp. Huang, On two questions about quaternion matrices, LIN ALG APP, 318(1-3), 2000, pp. 79-86
Citations number
4
Categorie Soggetti
Mathematics
Journal title
LINEAR ALGEBRA AND ITS APPLICATIONS
ISSN journal
00243795 → ACNP
Volume
318
Issue
1-3
Year of publication
2000
Pages
79 - 86
Database
ISI
SICI code
0024-3795(20001015)318:1-3<79:OTQAQM>2.0.ZU;2-G
Abstract
This paper answers two questions proposed in [Fuzhen Zhang, Linear Algebra Appl. 251 (1997) 21-57], showing that there exists a 2 x 2 quaternion matri x with only two non-similar left eigenvalues that is not diagonalizable, an d giving some necessary and sufficient conditions for \A/-B B/A\ = 0 (C) 2000 Elsevier Science Inc. All rights reserved. AMS classification: 15A 33.