For an invertible matrix A, prove that A and A have the same eigenvectors. How are the eigenvalues of A related to the eigenvalues of A Letting x be an eigenvector of A gives Ax = Ax for a corresponding eigenvalue A. Using matrix operations and the properties of inverse matrices gives which of the following? AN AN A/(AN)- A/(Ax) OA/A)x- (A/A)K IN- (A/A)x 華事華華 Ax AN AKA"- AMA OKAA A"x Ax AN AAx - Ax Ax/A AN/A IN ANA X AMA

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