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Wikipedia definition
1. Nilpotent matrixIn linear algebra, a nilpotent matrix is a square matrix N such that for some positive integer k. The smallest such k is sometimes called the degree of N. More generally, a nilpotent transformation is a linear transformation L of a vector space such that L = 0 for some positive integer k (and thus, L = 0 for all j ≥ k). Both of these concepts are special cases of a more general concept of nilpotence that applies to elements of rings.
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