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Matrices and Determinants question

2020 · 2 Sep · Shift 2 · Q23
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  5. /2020 · 2 Sep · Shift 2 · Q23

Matrices and Determinants question

2020 · 2 Sep · Shift 2 · Q23

JEE MainMathematicsMatrices and DeterminantsMCQ+4 / −1
Let a, b, c ∈\in∈ R be all non-zero and satisfy a3 + b3 + c3 = 2. If the matrix A = (abcbcacab)\left( {\begin{matrix} a & b & c \\ b & c & a \\ c & a & b \\ \end{matrix} } \right)​abc​bca​cab​​ satisfies ATA = I, then a value of abc can be :
  1. A
    3
  2. B
    13{1 \over 3}31​
  3. C
    -13{1 \over 3}31​
  4. D
    23{2 \over 3}32​
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