Q 1119501410.     If matrix `A =[(a,b,c),(b,c,a),(c,a,b)]`, where a, b, c are real positive then the value of `a^3 + b^3 + c^3` is

JEE 2003 Mains

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Now `A^TA = I` and use `a^3 + b^3 + c^3 - 3abc = (a + b + c)(a^2 + b^2 + c^2 - ab - bc - ca)`

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