Influence of a Capacitance Matrix of a voltage measurment
I found the solution to my problem :

The equations can be written :

$$
I = V  \times  C_{ij} \times i\omega
$$ 

Where I is the vector of known currents going threw the electrodes, V the potential of the electrodes and omega the rotational frequency of the current.

In this case the potential of the transmitting electrodes is known and the current of the receiving electrodes is equal to 0. We can therefore find a system of equations that will allow us to derive the potential of the receiving electrodes.