Compute the moment of inertia matrix of a solid circular cylinder of height \(H\) and base radius \(R\), and of uniform mass density \(ho=ho_{0}\). In this expression, the cylinder is arranged so that its symmetry axis is along the \(\mathrm{z}\) axis and its top cap sits on the \(x, y\) plane; i.e., the cylinder extends from \(z=-H\) to \(z=0\). Compute all entries of the moment of inertia matrix with respect to the origin in this configuration.