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:<math>A\boldsymbol{x}=\lambda\boldsymbol{x}</math>
 
:<math>A\boldsymbol{x}=\lambda\boldsymbol{x}</math>
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where <math>\lambda</math> is [[complex number]].
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where <math>\lambda</math> is [[complex number]], known as a '''eigenvalue''. 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.
    
[[category:mathematics]]
 
[[category:mathematics]]
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