A= 1 0 3 a -2 0 b с 1 where a, b, c are real numbers. (a) For which values of a,b,c is A orthogonally diagonalizable? c

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A= 1 0 3 a -2 0 b с 1 where a, b, c are real numbers. (a) For which values of a,b,c is A orthogonally diagonalizable? c

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A= 1 0 3 a -2 0 b с 1 where a, b, c are real numbers. (a) For which values of a,b,c is A orthogonally diagonalizable? c C (b) For the values of a, b, c in (a), determine an orthogonal matrix P and a diagonal matrix D such that D = PT AP.
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