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Sums and products of square-zero matrices

Which matrices can be written as sums or products of square-zero matrices? This
question is the central premise of this dissertation. Over the past 25 years a signi -
cant body of research on products and linear combinations of square-zero matrices
has developed, and it is the aim of this study to present this body of research in a
consolidated, holistic format, that could serve as a theoretical introduction to the
subject.
The content of the research is presented in three parts: rst results within the
broader context of sums and products of nilpotent matrices are discussed, then
products of square-zero matrices, and nally sums of square-zero matrices. / Mathematical Sciences / M. Sc. (Mathematics)

Identiferoai:union.ndltd.org:netd.ac.za/oai:union.ndltd.org:unisa/oai:uir.unisa.ac.za:10500/24519
Date03 1900
CreatorsHattingh, Christiaan Johannes
ContributorsBotha, J. D.
Source SetsSouth African National ETD Portal
LanguageEnglish
Detected LanguageEnglish
TypeDissertation
Format1 online resource (179 leaves)

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