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  3. let a be an invertible matrix and ? be an eigenva

Let A be an invertible matrix and ? be an eigenvalue of A. Prove,...

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Let A be an invertible matrix and ? be an eigenvalue of A. Prove, using the definition ofan eigenvalue, that is 1/ ? an eigenvalue of A-. If A is an invertible matrix that is diagonalisable, prove that A- is diagonalisable.

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