0 votes 0 votes closed as a duplicate of: ISI2017-MMA-19 If $\alpha, \beta$ and $\gamma$ are the roots of $x^3-px+q=0$, then the value of the determinant $\begin{vmatrix} \alpha & \beta & \gamma \\ \beta & \gamma & \alpha \\ \gamma & \alpha & \beta \end{vmatrix}$ is $p$ $p^2$ $0$ $p^2+6q$ Linear Algebra isi2017-mma engineering-mathematics linear-algebra determinant + – go_editor asked Sep 15, 2018 • closed May 11, 2019 by akash.dinkar12 go_editor 399 views comment Share Follow See all 0 reply Please log in or register to add a comment.