Correlation between more than two random variable

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how i can Define correlation among more than two random variables ? how we can calculate correlation between more than two random variables?

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Usually, you just show one triangle of the matrix

$\begin{matrix} --\\\rho_{12} &--\\\rho_{13} & \rho_{23} &-- \end{matrix}$

The main diagonals we know are 1. (the correlation between X and itself is 1).

But there is no reason you can't build it out as a symmetric matrix.

$\begin{matrix} 1&\rho_{21} & \rho_{31}\\\rho_{12} &1&\rho_{32}\\\rho_{13} & \rho_{23} &1 \end{matrix}$