If \(A = [ * 20 c a&b&c\\ b&c&a\\ c&a&b ],\) where a, b, c are real positive numbers such that abc = 1 and A T A = I then the equation that holds false among the following is

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Question 2

Mathematics Determinants Hard

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 false among the following is

(A) a + b + c = 1

(B) a2 + b2 + c2 = 1

(C) ab + bc + ca = 1

(D) a3 + b3 + c3 = 4

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Correct Solution: Option C

Step-by-step Solution:

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