Inverse eigenvalues theorem: Difference between revisions

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{{Orphan|date=December 2009}}

In [[numerical analysis]] and [[linear algebra]], the '''Inverse eigenvalues theorem''' states that, given a matrix A that is [[nonsingular]], with [[eigenvalue]] <math>\|\lambda|>0</math>, <math>\lambda</math> is an eigenvalue of <math>A</math> if and only if <math>\lambda^{-1}</math> is an eigenvalue of <math>A^{-1}</math>.

==Proof of the Inverse Eigenvalues Theorem==