Flavien Mabilat
Abstract
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In this note, we give a proof that a matrix of determinant 0 on any algebraically closed field is the product of a nilpotent matrix and a unipotent matrix which only uses elementary facts.
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In this note, we give a proof that a matrix of determinant 0 on any algebraically closed field is the product of a nilpotent matrix and a unipotent matrix which only uses elementary facts.
Key concepts: Unipotent, Algebraically closed field, Mathematics, Nilpotent matrix, Nilpotent, Pure mathematics, Product (mathematics), Field (mathematics)