Sums of two square-zero matrices over an arbitrary field (Q649552)
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scientific article; zbMATH DE number 5985508
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Sums of two square-zero matrices over an arbitrary field |
scientific article; zbMATH DE number 5985508 |
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Sums of two square-zero matrices over an arbitrary field (English)
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2 December 2011
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In the paper is proved a result over an arbitrary field, which is a very good generalization of the well known result of \textit{J.-H. Wang} and \textit{P. Y. Wu} [Stud. Math. 99, No. 2, 115--127 (1991; Zbl 0745.47006)] for expressing an \(n\times n\) matrix as the sum of two square-zero matrices over the complex field, namely if the field is of characteristic zero and algebraically closed.
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square-zero
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nilpotent
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companion matrix
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nonderogatory
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similarity
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rational canonical form
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trace
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field
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characteristic two
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algebraic closure
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