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Eigenvectors and Eigenvalues (view source)
Revision as of 19:43, April 25, 2010
, 19:43, April 25, 2010Fixing text
{{Jargon}}
{{Jargon}}
An '''eigenvector''' of a square [[matrix]] <math>A</math> is a vector <math>\boldsymbol{x}\in\mathbb{R}</math> such that,
'''Eigenvectors''' represent directions that are preserved by linear transformations of a [[vector space]].
An '''eigenvector''' of an ''n x n'' square [[matrix]] <math>A</math> is a vector <math>\boldsymbol{x}\in\mathbb{C}^n</math> such that,
:<math>A\boldsymbol{x}=\lambda\boldsymbol{x}</math>
:<math>A\boldsymbol{x}=\lambda\boldsymbol{x}</math>