If \( \alpha, \beta \) are non-real numbers satisfying \( x^{3}-1=0...

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If \( \alpha, \beta \) are non-real numbers satisfying \( x^{3}-1=0 \) then the value of \( \left|\begin{array}{lll}\lambda+1 & \alpha & \beta \\ \alpha & \lambda+\beta & 1 \\ \beta & 1 & \lambda+\alpha\end{array}\right| \) is equal to
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