The eigenspace of an square matrix
associated with an eigenvalue
is the null
space of
.
It consists of the zero vector
together with all eigenvectors
corresponding to
.
Its dimension is the geometric
multiplicity of
.
Eigenspace
See also
Algebraic Multiplicity, Eigen Decomposition, Eigenvalue, Eigenvector, Geometric MultiplicityExplore with Wolfram|Alpha
Cite this as:
Weisstein, Eric W. "Eigenspace." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/Eigenspace.html