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Title: On determinant preserver problems
Authors: Tan, V. 
Wang, F.
Keywords: Determinant
Triangular matrices
Issue Date: 1-Aug-2003
Citation: Tan, V., Wang, F. (2003-08-01). On determinant preserver problems. Linear Algebra and Its Applications 369 (SUPP.) : 311-317. ScholarBank@NUS Repository.
Abstract: Let Mn and Tn be the vector spaces of n×n matrices and upper triangular matrices over a field F (with some cardinality and characteristic restrictions) respectively. We characterise transformations φ on these two spaces separately which satisfy one of the following conditions: det(A+λB)=det(φ(A)+λφ(B)) for all A, B and λ. φ is surjective and det(A+λB)=det(φ(A)+λφ(B)) for all A, B and two specific λ. φ is additive and preserves determinant. © 2003 Elsevier Science Inc. All rights reserved.
Source Title: Linear Algebra and Its Applications
ISSN: 00243795
DOI: 10.1016/S0024-3795(02)00739-5
Appears in Collections:Staff Publications

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