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Visualization and mappings of mathematical data and transformations to geometric objects are important tools in any area of mathematics. Directed graphs have been used in linear algebra since D. König in the early 20th century. In this paper, we aim to give interpretations of such graphs and related data arrangements which project linear algebra to graph theory ‒ definitions of linear functional graphs. The results were obtained by applying discrete modelling techniques to objects of linear algebra. Linear functional graphs can be used in linear algebra courses to teach the theory of linear mappings, matrix multiplication and determinants. This technique can make linear algebra learning visual and suitable for some learners.

Linear Functional Graphs ‒ a Data Arrangement and Visualization Tool for Linear Algebra