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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
ISSN: 00243795
Appears in Collections:Staff Publications

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