Manifolds of idemopotent matrices |
| |
| Authors: | Raul Ernesto Gonzalez D. J. Hartfiel |
| |
| Affiliation: | a Departamento de Ciencias Fisico-Matemtiticas, ITESO, Apartado Postal, Jalisco, Mexicob Mathematics Department, Texas A&M University College Station, |
| |
| Abstract: | Let Mn be the set of n×n matrices and r a nonnegative integer with r ≤ n. It is known,from Lie groups, that the rank r idempotent matrices in Mn form an arcwise connected 2n (n-r)-dimensional analytic manifold. This paper provides an elementary proof of this result making it accessible to a larger audience. |
| |
| Keywords: | Idempotent matrices manifolds AMS Classification: 15A21 15A24 |
| 本文献已被 InformaWorld 等数据库收录！ |
