Question 2

Mathematics Determinants Hard

If&nbsp;<span class="math-tex">\(A = \left[ {\begin{array}{*{20}{c}} a&amp;b&amp;c\\ b&amp;c&amp;a\\ c&amp;a&amp;b \end{array}} \right],\)</span>&nbsp;where a, b, c are real positive numbers such that abc&nbsp; = 1 and A<sup>T</sup>A = I then the equation that holds false among the following is

(A) a + b + c = 1
(B) a<sup>2</sup> + b<sup>2</sup> + c<sup>2</sup> = 1
(C) ab + bc + ca = 1
(D) a<sup>3</sup> + b<sup>3</sup> + c<sup>3</sup> = 4
View Dynamic Solution & Explanation
Correct Solution: Option C

Step-by-step Solution:

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