A be an orthogonal n by n real matrix where n is an odd number. Show that 1 or -1 must be an eigenvalue of A. What happens if n is an even number?

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Q: diagonalizable.

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Q: 1 -1 -1 1 -1 1 1 -1

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A: for ease of everything I will provide whole answer.

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Q: i had a typo can you also find the eigenspace for the given matrix

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