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http://elibrary.kdpu.edu.ua/xmlui/handle/123456789/12012| Назва: | The usage of stochastic matrices while learning the topic "Eigenvalues and eigenvectors of a matrix" in the course of Higher Mathematics |
| Автори: | Власенко, Катерина Володимирівна Армаш, Тетяна Сергіївна Костіков, A. A. Лов'янова, Ірина Василівна Моісеєнко, Михайло Вікторович |
| Ключові слова: | stochastic matrices eigenvalues of a matrix eigenvectors of a matrix course of Higher Mathematics teaching mathematical modeling стохастичні матриці власні значення матриці власні вектори матриці курс вищої математики викладання математичного моделювання |
| Дата публікації: | 2024 |
| Видавництво: | IOP Publishing |
| Бібліографічний опис: | Vlasenko K.V., Armash T.S., Kostikov A.A., Lovianova I.V., Moiseienko M.V. The usage of stochastic matrices while learning the topic "Eigenvalues and eigenvectors of a matrix" in the course of Higher Mathematics. Journal of Physics: Conference Series. 2024. Vol. 2871(1), 012002 doi:10.1088/1742-6596/2871/1/012002 |
| Короткий огляд (реферат): | The 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". |
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| URI (Уніфікований ідентифікатор ресурсу): | http://elibrary.kdpu.edu.ua/xmlui/handle/123456789/12012 https://doi.org/10.1088/1742-6596/2871/1/012002 |
| Розташовується у зібраннях: | Кафедра математики та методики її навчання |
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| Vlasenko_2024_J._Phys.__Conf._Ser._2871_012002.pdf | 1.1 MB | Adobe PDF | Переглянути/Відкрити |
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