On nonsingularity of combinations of two group invertible matrices and two tripotent matrices

DOI10.1080/03081087.2011.558843zbMath1237.15008OpenAlexW2036214278MaRDI QIDQ3104568

Shuxia Wu, Xiaoji Liu, Julio Benítez Lopez

Publication date: 14 December 2011

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10251/52825

zbMATH Keywords

linear combinationdiagonalizationnonsingularitytripotent matrixgroup invertible matrix

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Eigenvalues, singular values, and eigenvectors (15A18) Vector spaces, linear dependence, rank, lineability (15A03)

Related Items (3)

On nonsingularity of combinations of three group invertible matrices and three tripotent matrices ⋮ Invertibility and stability of linear combinations ofm-potent operators ⋮ On invertibility of combinations of \(k\)-potent operators

Cites Work

• Unnamed Item
• Nonsingularity of the difference and the sum of two idempotent matrices
• A note on linear combinations of commuting tripotent matrices
• The difference and sum of projectors
• Nonsingularity of linear combinations of idempotent matrices
• Nonsingularity and group invertibility of linear combinations of twok-potent matrices
• Nonsingularity of the Difference of Two Oblique Projectors
• {k}-Group Periodic Matrices

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