Show that if U is an orthogonal matrix, then any real

Chapter , Problem 6E

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QUESTION:

Show that if U is an orthogonal matrix, then any real eigenvalue of U must be .

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QUESTION:

Show that if U is an orthogonal matrix, then any real eigenvalue of U must be .

ANSWER:

Solution 6EStep 1 of 2Suppose is orthogonal matrix.The objective is to show that real Eigen values of are .Let .Recollect that if be with orthonormal columns then .If is the Eigen value then

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