Difference between revisions of "Eigenspace"

Revision as of 00:28, May 2, 2010

The eigenspace of a square matrix $A$ is the vector space spanned by all eigenvectors of a particular eigenvalue.

Stated another way, the kernel of the matrix $A-\lambda {I}$ is called the eigenspace $E_{\lambda }$ associated with $\lambda$ .

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-{{jargon}}
+The '''eigenspace''' of a square [[matrix]] <math>A</math> is the vector space [[span]]ned by all [[eigenvector]]s of a particular [[eigenvalue]].
-The '''eigenspace''' of a square [[matrix]] <math>A</math> is the vector space [[span]]ned by all [[eigenvector]]s of a particular [[eigenvalue]].
+Stated another way, the [[kernel]] of the matrix <math>A-\lambda{I}</math> is called the [[eigenspace]] <math>E_\lambda</math> associated with <math>\lambda</math>.
 [[category:Linear algebra]]