Source: wikibot/nilpotent-operator
= Nilpotent operator
{wiki=Nilpotent_operator}
In linear algebra, a nilpotent operator (or nilpotent matrix) is a linear transformation \\( T \\) (or a square matrix \\( A \\)) such that there exists a positive integer \\( k \\) for which \\( T^k = 0 \\) (the zero operator) or \\( A^k = 0 \\) (the zero matrix).