The total number of matrices … (x, y … R,x … y) for which A^TA = 3I₃ is :-

Matrices and Determinants

JEE Main 2019 · 9 Apr, Evening shift · Q4661

MathematicsMedium244×since 2002Q4661

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

MathematicsMedium244×since 2002Q4661

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 :-