The problem of the decision of systems of the differential equations existed always. One of such problems consist in splitting of system into blocks, i.e. into subsystems which contain smaller quantity of unknown functions. It is possible to apply special idempotent matrixes to the decision of such problems -projectors. It is possible to specify an iterative way of a finding of two degenerative the matrixes of system breaking system of two blocks. Such operation is equivalent to matrix reduction to Jordan to the form. In work the geometry of such splitting is resulted.