Trace Invariance for Quaternion Matrices
Let F be a f ield. It is a classical result in linear algebra that for each A, P ϵ Mn (F) such that P is nonsingular, tr A = tr (PAP-1). We show in this paper that the preceding property does not hold true if F is the division ring of real quaternions. We show that the only quaternion matrices that...
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| Format: | Article |
| Language: | English |
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University of the Philippines
2015-12-01
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| Series: | Science Diliman |
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| Online Access: | http://www.journals.upd.edu.ph/index.php/sciencediliman/article/view/4806 |