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Mathematics Commons

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Algebra

Claremont Colleges

2022

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Full-Text Articles in Mathematics

Nilpotents Leave No Trace: A Matrix Mystery For Pandemic Times, Eric L. Grinberg Jan 2022

Nilpotents Leave No Trace: A Matrix Mystery For Pandemic Times, Eric L. Grinberg

Journal of Humanistic Mathematics

Reopening a cold case, Inspector Echelon, high-ranking in the Row Operations Center, is searching for a lost linear map, known to be nilpotent. When a partially decomposed matrix is unearthed, he reconstructs its reduced form, finding it singular. But were its origins nilpotent?