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Hint: The correct canonical form helps Question 8. Given A E Mm... [1R], prove that there exists a. unitary W E Mnlnm) such that 1111'

Hint: The correct canonical form helps

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Question 8. Given A E Mm... [1R], prove that there exists a. unitary W E Mnlnm) such that 1111' = WA'AW". Use this to show that AU! and 1121' have the same eigenvalum with the some algebraic and geometric multiplicities. {3 points) [Hint The correct canonical form helps.]

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