Застосування методів лінійної алгебри в аналізі соціальних мереж

Abstract

The report discusses the methods of linear algebra used to analyse social networks. The use of matrices, eigenvectors, and spectral analysis to study the network structure, identify communities, identify key nodes, and predict interaction dynamics is analysed. It is shown that linear algebra is a powerful tool for processing large amounts of data in social networks, which is important for sociology, marketing and cybersecurity.