Nilpotent Matrix

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 jk). 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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