  In this training course report, I briefly present the one- and two-matrix
models as tools for the study of conformal field theories with boundaries. In a
first part, after a short historical presentation of random matrices, I present
the matrix models' formalism, their diagramatic interpretation, their link with
random surfaces and conformal field theories and the "loop equations" method
for the 2-matrix model. In a second part, I use this method for the calculation
of the generating function of random cylindres whose boundaries are
two-coloured, which was not know before.
