  The paper is a continuation of arXiv:2012.10364, where the approach was
developed to constructing the exact matrix model for any generalized Ising
system, and such model was constructed for certain 2d system. In this paper,
the properties of the model are specified for light block diagonalization. A
corresponding example is considered. For the example, general exact partition
function is obtained and analysed. The analysis shows that the free energy does
not depend on the amount of rows with a large amount of cells. For the example
with light boundary conditions, the partition function is obtained and the
specific free energy per spin is plotted.
