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If matrix A = [(a, b, c), (b, c, a), (c, a, b)], where a, b, c are real positive number abc = 1

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If matrix A = [(a, b, c), (b, c, a), (c, a, b)], where a, b, c are real positive number abc = 1 and AT A = I, then find the value of a3 + b3 + c3.

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a3 + b3 + c3 - 3abc

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