6. Let A be an cigenvalue of A and let x be an eigen- vector belonging...

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6. Let A be an cigenvalue of A and let x be an eigen- vector belonging to A. Use mathematical induction to show that, for m > 1, A" is an eigenvalue of A and x is an eigenvector of A" belonging to A". 6. Let A be an cigenvalue of A and let x be an eigen- vector belonging to A. Use mathematical induction to show that, for m > 1, A" is an eigenvalue of A and x is an eigenvector of A" belonging to A".