27. Let A and B be n x n symmetric matrices such that ||I - xA|| ||I...

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27. Let A and B be n x n symmetric matrices such that ||I - xA|| ||I - yB|| =

||I - xA|| ||I - yB|| for all x and y such that |x| <

a, |y| < a for some positive number a.

Show that AB = BA = 0.

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