In 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 Lk = 0 for some positive integer k (and thus, Lj = 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.
Read more about Nilpotent Matrix: Examples, Characterization, Classification, Flag of Subspaces, Additional Properties, Generalizations
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