moore_determinant.tex

{M}=\left\lbrack \begin{array}{}
{{\alpha }}_{1} & {{\alpha }}_{1}^{{q}} & \cdots  & {{\alpha }}_{1}^{{{q}}^{{n}-1}} \\
{{\alpha }}_{2} & {{\alpha }}_{2}^{{q}} & \cdots  & {{\alpha }}_{2}^{{{q}}^{{n}-1}} \\
\vdots  & \vdots  & \ddots  & \vdots  \\
{{\alpha }}_{{m}} & {{\alpha }}_{{m}}^{{q}} & \cdots  & {{\alpha }}_{{m}}^{{{q}}^{{n}-1}} \\
\end{array}\right\rbrack