In this paper we present a geometric approach to the stabilizability of linear systems by output feedback. The geometric approach is completely analysed for both discrete time and continuous time single-input-single-output systems. Two examples are worked out in detail to illustrate the theoretical development. We also show how our approach can be extended to dyadic systems. The simplicity of the geometric approach in the special case when the number of inputs or outputs is one less than the order of the system is illustrated with the help of examples.