JEE Math Practice Question
Let a, b, c $$ \in $$ R be all non-zero and satisfy a3 + b3 + c3 = 2. If the matrix A = $$\left( {\begin{matrix} a & b & c \\ b & c & a \\ c & a & b \\ \end{matrix} } \right)$$ satisfies ATA = I, then a value of abc can be :
- A.3
- B.$${1 \over 3}$$
- C.-$${1 \over 3}$$
- D.$${2 \over 3}$$
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