If \(A = \left[ {\begin{array}{*{20}{c}} a&b&c\\ b&c&a\\ c&a&b \end{array}} \right],\) where a, b, c are real positive numbers such that abc = 1 and ATA = I then the equation that holds true among the following is

If \(A = \left[ {\begin{array}{*{20}{c}} a&b&c\\ b&c&a\\ c&a&b \end{a

1.	If \(A = \left[ {\begin{array}{*{20}{c}} a&b&c\\ b&c&a\\ c&a&b \end{array}} \right],\) where a, b, c are real positive numbers such that abc = 1 and ATA = I then the equation that holds true among the following is
A.	a + b + c = 1
B.	a2 + b2 + c2 = 1
C.	ab + bc + ca = 0
D.	a3 + b3 + c3 = 4
Answer» C. ab + bc + ca = 0

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If \(A = \left[ {\begin{array}{*{20}{c}} a&b&c\\ b&c&a\\ c&a&b \end{array}} \right],\) where a, b, c are real positive numbers such that abc = 1 and ATA = I then the equation that holds true among the following is

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