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For matrices A B Mnxn F we say that A and B are unitarily similar...

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Calculus

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For matrices A B Mnxn F we say that A and B are unitarily similar if there exists a unitary matrix U E Mnxn F such that U AU B Note that since U is unitary U U so being unitarily similar is a special case of being similar Let A B Mnxn F be unitarily similar Use proof by induction to show that A and B are unitarily similar for all kEN

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