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This thesis combines Linear Algebra with Applied Mathematics. The author presents mathematical applications from physics and electrical engineering, statistics and demography, signal and image processing by means of linear algebra. The first chapter presents three fundamental laws of Kirchhoff and Ohm, respectively, which combine into the fundamental network equation. Therefore, the author considers the four subspaces, graphs and incidence matrices. The second chapter is all about applicationsdoi:10.25365/thesis.15605 fatcat:j3wwhghfhreb7k3ihb26xn6aym