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| Title: | Linear transformations on symmetric matrices that preserve commutativity | Authors: | Chan, G.H. Lim, M.H. |
Issue Date: | Oct-1982 | Citation: | Chan, G.H.,Lim, M.H. (1982-10). Linear transformations on symmetric matrices that preserve commutativity. Linear Algebra and Its Applications 47 (C) : 11-22. ScholarBank@NUS Repository. | 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. © 1982. | Source Title: | Linear Algebra and Its Applications | URI: | http://scholarbank.nus.edu.sg/handle/10635/103501 | ISSN: | 00243795 |
| Appears in Collections: | Staff Publications |
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