Comment: This article presents only the model and its equations. The implications of this model, its applications and methods to make effective use of it will be published in separate papersThis article has one single purpose: introduce a new and simple, yet highly insightful approach to capture, fully and quantitatively, the dynamics of the circular flow of income in economies. The proposed approach relies mostly on basic linear algebraic concepts and has deep implications for the disciplines of economics, physics and econophysics.