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Eigenspace (view source)

Revision as of 00:28, May 2, 2010

154 bytes added , 00:28, May 2, 2010

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~~{{jargon}}~~

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The '''eigenspace''' of a square [[matrix]] <math>A</math> is the vector space [[span]]ned by all [[eigenvector]]s of a particular [[eigenvalue]].

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~~The '''eigenspace''' of a square~~ [[~~matrix~~]] <math>A</math> is the ~~vector space~~ [[~~span]]ned by all [[eigenvector]]s of a particular [[eigenvalue~~]].

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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]]

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