Let a, b, c R be all non-zero and satisfy a³ + b³ + c³ = 2. If the matrix A = (a b c b c a c a b) satisfies A^(T)A = I, then a value of abc can be:

Matrices and Determinants: JEE Main 2020 Mathematics question

JEE Main 2020 · 2 Sep, Evening shift · Q4662

JEE Main 20202 Sep, Evening shiftMathematicsMediumMatrices and Determinants245× since 2002

Let a, b, c

\in

R be all non-zero and satisfy a³ + b³ + c³ = 2. If the matrix A =

\left( {\matrix{ a & b & c \cr b & c & a \cr c & a & b \cr } } \right)

satisfies A^TA = I, then a value of abc can be :

JEE Main 2020 · 2 Sep, Evening shift · Q4662

JEE Main 20202 Sep, Evening shiftMathematicsMediumMatrices and Determinants245× since 2002

Let a, b, c

\in

R be all non-zero and satisfy a³ + b³ + c³ = 2. If the matrix A =

\left( {\matrix{ a & b & c \cr b & c & a \cr c & a & b \cr } } \right)

satisfies A^TA = I, then a value of abc can be :