On nonsingularity of combinations of three group invertible matrices and three tripotent matrices
[ X ]
Tarih
2013
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
Let T?=?c 1 T 1?+?c 2 T 2?+?c 3 T 3???c 4(T 1 T 2?+?T 3 T 1?+?T 2 T 3), where T 1, T 2, T 3 are three n?×?n tripotent matrices and c 1, c 2, c 3, c 4 are complex numbers with c 1, c 2, c 3 nonzero. In this article, necessary and sufficient conditions for the nonsingularity of such combinations are established and some formulae for the inverses of them are obtained. Some of these results are given in terms of group invertible matrices.
Açıklama
Anahtar Kelimeler
Diagonalization, Group Invertible Matrix, Nonsingularity, Tripotent Matrix
Kaynak
Linear and Multilinear Algebra
WoS Q Değeri
N/A
Scopus Q Değeri
Q1
Cilt
61
Sayı
4
Künye
Benítez, J., Sarduvan, M., Ülker, S., Özdemir, H. (2013). On nonsingularity of combinations of three group invertible matrices and three tripotent matrices. Linear and Multilinear Algebra, 61(4), 463-481.
