On nonsingularity of combinations of two group invertible matrices and two tripotent matrices
Let T(1) and T(2) be two n x n tripotent matrices and c(1), c(2) two nonzero complex numbers. We mainly study the nonsingularity of combinations T = c(1)T(1) + c(2)T(2) - c(3)T(1)T(2) of two tripotent matrices T(1) and T(2), and give some formulae for the inverse of c(1)T(1) + c(2)T(2) - c(3)T(1)T(2...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2011 |
| País: | España |
| Institución: | Universitat Politècnica de València (UPV) |
| Repositorio: | RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia |
| Idioma: | inglés |
| OAI Identifier: | oai:riunet.upv.es:10251/52825 |
| Acceso en línea: | https://riunet.upv.es/handle/10251/52825 |
| Access Level: | acceso abierto |
| Palabra clave: | Diagonalization Group invertible matrix Linear combination Nonsingularity Tripotent matrix MATEMATICA APLICADA |
| Sumario: | Let T(1) and T(2) be two n x n tripotent matrices and c(1), c(2) two nonzero complex numbers. We mainly study the nonsingularity of combinations T = c(1)T(1) + c(2)T(2) - c(3)T(1)T(2) of two tripotent matrices T(1) and T(2), and give some formulae for the inverse of c(1)T(1) + c(2)T(2) - c(3)T(1)T(2) under some conditions. Some of these results are given in terms of group invertible matrices. (C) 2011 Taylor & Francis |
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