The usage of stochastic matrices while learning the topic "eigenvalues and eigenvectors of a matrix" in the course of Higher Mathematic

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dc.contributor.authorVlasenko, Katerynaen_US
dc.contributor.authorArmash, Tetianaen_US
dc.contributor.authorKostikov, Alexanderen_US
dc.contributor.authorLovianova, Irynaen_US
dc.contributor.authorMoiseienko, Mykhailoen_US
dc.date.accessioned2025-01-27T07:23:43Z
dc.date.available2025-01-27T07:23:43Z
dc.date.issued2024
dc.description.abstractThe article looks into teaching students mathematical modeling during the mastering of the topic \Eigenvalues and eigenvectors of a matrix" in the Linear Algebra. The modeling is based on the usage of matrices built based on Markov chains. The analysis of the researchers' papers shows that the usage of matrices of this type can be implemented while teaching students of different university specialties. The analysis of the prerequisites for the involvement of stochastic matrices in the consideration of students has helped to determine additional concepts and theorems that should be considered while learning \Eigenvalues and eigenvectors of a matrix". The theorem on the presence of stochastic vectors in a stochastic matrix can serve as a formula for systematizing problems that can present applications of eigenvalues and eigenvectors of the matrix in real-life situations. The results of the experiment conducted using the developed system of problems for students of different University specialties show the improvement of skills provided by mastering the topic \Eigenvalues and eigenvectors of a matrix".en_US
dc.identifier.citationThe usage of stochastic matrices while learning the topic "eigenvalues and eigenvectors of a matrix" in the course of Higher Mathematics / K. V. Vlasenko, T. S. Armash, A. A. Kostikov, I. V. Lovianova, M. V. Moiseienko // Journal of Physics: Conference Series. - 2024. - Vol. 2871(1). - Art. no. 012002. - 14 р. - https://doi.org/10.1088/1742-6596/2871/1/012002en_US
dc.identifier.issn1742-6596
dc.identifier.issn1742-6588
dc.identifier.urihttps://doi.org/10.1088/1742-6596/2871/1/012002
dc.identifier.urihttps://ekmair.ukma.edu.ua/handle/123456789/33334
dc.language.isoenen_US
dc.relation.sourceJournal of Physics: Conference Seriesen_US
dc.statusfirst publisheden_US
dc.subjectteaching students mathematical modelingen_US
dc.subjectLinear Algebraen_US
dc.subjectmatricesen_US
dc.subjectstochastic matricesen_US
dc.subjectconference materialsen_US
dc.titleThe usage of stochastic matrices while learning the topic "eigenvalues and eigenvectors of a matrix" in the course of Higher Mathematicen_US
dc.typeConference materialsen_US
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