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|Title:||Linear transformations on symmetric matrices that preserve commutativity|
|Authors:||Chan, G.H. |
|Source:||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|
|Appears in Collections:||Staff Publications|
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