EIGENVALUE

eigenvalue

Noun

  1. A scalar, <math>\lambda\!</math>, such that there exists a vector <math>x</math> (the corresponding eigenvector) for which the image of <math>x</math> under a given linear operator <math>\rm A\!</math> is equal to the image of <math>x</math> under multiplication by <math>\lambda</math>; i.e. <math>{\rm A} x = \lambda x\!</math>
    ''The eigenvalues <math>\lambda\!</math> of a square transformation matrix <math>\rm M\!</math> may be found by solving <math>\det({\rm M} - \lambda {\rm I}) = 0\!</math> .


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