Psychological and pedagogical portraits of teachers and students

The introduction of digital methods into the educational process makes the use of mathematical methods and models relevant. The mathematical description of the characteristics of students and teachers who form their psychological and pedagogical portraits is an important problem. Their vector characteristics and matrix representation are chosen as portrait models. For mathematical matching of digital portraits with vector description, it is proposed to apply the magnitude of their scalar product. The article introduces a method of finding the proportions of the elements of the structural matrix of portraits, in which the characteristics of teachers and students in this educational team will be balanced. The method is based on the analysis of the eigenvalue of the structural matrix of the model.