Given two m ×m matrix X and Y , where XY = Y X. Suppose the eigenvalues of X are mutually different from each other and are real, and Y ̸= 0. Show that Y has the same eigenvectors as X and the eigenvalues of Y are real.

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A: Solution is given: Hope the answer is helpful.

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A: Solution is given andi hope it will be helpful for you dear student.

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A: The complete solutions are given below  

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A: Solution is given as: Hope the answer is helpful.

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