Singular matrices that are products of two idempotents or products of two nilpotents (Q2062661)
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scientific article; zbMATH DE number 7451221
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Singular matrices that are products of two idempotents or products of two nilpotents |
scientific article; zbMATH DE number 7451221 |
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Singular matrices that are products of two idempotents or products of two nilpotents (English)
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30 December 2021
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The author studies necessary and sufficient conditions under which a \(2\times 2\) matrix with entries in an integral domain can be expressed as a product of two idempotent matrices or two nilpotent matrices. For both problems, the cases of interest are matrices with null second row and those with entries all different from zero.
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idempotent matrix
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nilpotent matrix
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quadratic Diophantine equation
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\(2 \times 2\) matrix
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