If alpha and are the roots of the equation 1 x x2 0 then the matrix product is equal to ........

Mathematics (NDA) Matrices and Determinants

If α and $\beta$ are the roots of the equation 1 + x + x² = 0, then the matrix product

$\begin{bmatrix} 1 & \beta\\ \alpha & \alpha \end{bmatrix}$ $\begin{bmatrix} \alpha &\beta\\ 1 &\beta \end{bmatrix}$ is equal to?

$\begin{bmatrix} 1 & 1\\ 1 & 2 \end{bmatrix}$

$\begin{bmatrix} -1 & -1\\ -1 & 2 \end{bmatrix}$

$\begin{bmatrix} 1 & -1\\ -1 & 2 \end{bmatrix}$

$\begin{bmatrix} -1 & -1\\ -1 & -2 \end{bmatrix}$

$\alpha$ , $\beta$ are roots of x² + x + 1 = 0
=> $\alpha$ = $\omega$ , $\beta$ = $\omega$ ²

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