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| − | {{merge|eigenvector}}
| + | #REDIRECT[[Eigenvectors and Eigenvalues]] |
| − | An '''eigenvalue''' of a square [[matrix]] <math>A</math> is a [[complex number]] <math>\lambda</math> such that
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| − | :<math>A\boldsymbol{x}=\lambda\boldsymbol{x}</math>
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| − | for some vector <math>\boldsymbol{x}\in\mathbb{R}</math> known as a [[eigenvector]]. The eigenvalue is the zero of a matrix's [[charateristic polynomial]].
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| − | All the eigenvectors of a particular eigenvalue [[span]] a vector space called the [[eigenspace]].
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| − | [[category:Linear algebra]]
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