Let and be the roots of the equation
x² + x + 1 = 0. Then for y 0 in R,
$\left| {\matrix{
{y + 1} & \alpha & \beta \cr
\alpha & {y + \beta } & 1 \cr
\beta & 1 & {y + \alpha } \cr
} } \right|$
is equal to
JEE Main 2019 · 9 Apr, Morning shift · Q4451