Given that L is an eigenvalue of an invertible matrix A, prove that 1/L is an eigenvalue for A^(-1). (NOTE: need proof for A in general; giving one example will not suffice)

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- Nov 5th 2007, 08:31 PMcaeder012Lin Alg Proof
Given that L is an eigenvalue of an invertible matrix A, prove that 1/L is an eigenvalue for A^(-1). (NOTE: need proof for A in general; giving one example will not suffice)

- Nov 5th 2007, 08:57 PMCaptainBlack