The author investigates stability and sensitivity of a mathematical linear model of education process on example of «The Shot», a short story by Alexander Pushkin. The proposed research consists of the following: (a) Description of mathematical model and modeling purposes; (b) Methods of sensibility and stability analysis; (c) Research of the proposed mathematical model; (d) Interpretation of obtained results. This paper presents the mathematical linear model of education process and general solution of the model. Sensitivity of the model is investigated by direct simulations of parameter variations. Definition of stability for the model is provided along with Lyapunov stability analysis for model solutions. «The Shot», a story by A. Pushkin, is used to conduct sensitivity and stability analysis of the proposed model. Figures showing dependencies between parameter variations and education indicators/education levels are presented. In the conclusion, obtained results are shown, and specific features of mathematical linear model application are outlined.