The total number of matrices A = (0 2y 1 2x y - 1 2x - y 1) (x, y R,x ≠ y) for which A^(T)A = 3I₃ is:-

Matrices and Determinants: JEE Main 2019 Mathematics question

JEE Main 2019 · 9 Apr, Evening shift · Q4661

JEE Main 20199 Apr, Evening shiftMathematicsMediumMatrices and Determinants245× since 2002

The total number of matrices

A = \left( {\matrix{ 0 & {2y} & 1 \cr {2x} & y & { - 1} \cr {2x} & { - y} & 1 \cr } } \right)

(x, y

\in

R,x

\ne

y) for which A^TA = 3I₃ is :-

JEE Main 2019 · 9 Apr, Evening shift · Q4661

JEE Main 20199 Apr, Evening shiftMathematicsMediumMatrices and Determinants245× since 2002

The total number of matrices

A = \left( {\matrix{ 0 & {2y} & 1 \cr {2x} & y & { - 1} \cr {2x} & { - y} & 1 \cr } } \right)

(x, y

\in

R,x

\ne

y) for which A^TA = 3I₃ is :-