Linear transformations on symmetric matrices that preserve commutativity |
| |
| Authors: | GH Chan MH Lim |
| |
| Institution: | Department of Mathematics National University of Singapore Singapore;Department of Mathematics University of Malaya Kuala Lumpur, Malaysia |
| |
| Abstract: | It is shown that if a nonsingular linear transformation T on the space of n-square real symmetric matrices preserves the commutativity, where n ?3, then T(A) = λQAQt + Q(A)In for all symmetric matricesA, for some scalar λ, orthogonal matrix Q, and linear functional Q. |
| |
| Keywords: | |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
