imagine to have data like the following
$\begin{matrix}X1 & X2 & X3 \\\ 1 & 2 & 3\\\ 4 & 5 & 6\\\ 7 & 8 & 9\\\ \dots\end{matrix}$
where each row is a multivariate Gaussian (0, $\Sigma$).
Having the first order statistics for each column (mean, variance, median, min, max) + the covariance matrix, is it possible to get the third column knowing the other ones?