Common
Generalized eigenvector
Vector satisfying some of the criteria of an eigenvector
Generalized eigenvector
In linear algebra, a generalized eigenvector of an n × n {\displaystyle n\times n} matrix A {\displaystyle A} is a vector which satisfies certain criteria which are more relaxed than those for an (ordinary) eigenvector. Let V {\displaystyle V} be an n {\displaystyle n} -dimensional vector space and let A {\displaystyle A} be the matrix representation of a linear map from V {\displaystyle V} to V {\displaystyle V} with respect to some ordered basis. There may not always exist a full set of n {\displaystyle n} linearly independent eigenvectors of A {\displaystyle A} that form a complete...
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