Matrices And Determinants

Let $A=\left(\begin{array}{l}0 \\ -6 \\ 8\end{array}\right), B=\left(\begin{array}{ccc}3 & 5 & -7 \\ 0 & -1 & 8 \\ 6 & -1 & 0\end{array}\right)$ and $X=\left(\begin{array}{l}x \\ y \\ z\end{array}\right)$. If $D=[\alpha \beta \gamma]^T$ is the solution of $X^T B^T=A^T$, then $D^T A=$