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##

Eigenspaces

An *eigenspace* of
satisfies
for all .
We also write this as
,
or
.
The simplest example is when is spanned by a single eigenvector of
.
More generally, an eigenspace can be spanned by a subset of
eigenvectors of , although the vectors
spanning do not have to be eigenvectors themselves.

Susan Blackford
2000-11-20