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Sums and products of square-zero matricesHattingh, Christiaan Johannes 03 1900 (has links)
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)
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