Eigenspace vs. Eigenvector

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Eigenspacenoun

(linear algebra) The linear subspace consisting of all eigenvectors associated with a particular eigenvalue, together with the zero vector.

Eigenvectornoun

(linear algebra) given a linear transformation T, a vector x such that Ax=\lambda x for some scalar \lambda

Eigenvectornoun

(linear algebra) specifically, given a matrix A, the eigenvector of the transformation "leftside multiplication by A"

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