<p>In this paper we investigated, the linear interactions between the inhomogeneous warm collisional plasma and the inhomogeneous warm beam of electrons of arbitrary density in the presence of the external static magnetic field. The dielectric of magnetized plasma remains unaffected by the inhomogeneity and warmness of the beam and plasma, which causes the amplification of the electric field. The electric field amplification was found to be affected by both the external static magnetic field and the warmness of the beam-plasma than the case of cold beam-plasma, while the dielectric constant remained unaffected. Additionally, it is discovered that the inhomogeneous electron beam affects the waves and, in turn, the power that the plasma absorbs. Furthermore, a significant factor in the energy transmission between the beam and the plasma is the collision plasma term. In conclusion, it is shown that more power is transferred to the plasma due to the warmness from magnetized warm plasma electrons and also due to the inhomogeneity of the warm beam.</p>