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Accounting Games: Using Matrix Algebra in Creating the Accounting Models

Author

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  • Anna Vysotskaya

    (Accounting and Finance Department, Southern Federal University, M. Gorkogo, 88 of 112, 344000 Rostov-on-Don, Russia)

Abstract

The aim of this paper is to show the mathematical basis for a precise treatment of double-entry bookkeeping, which was first developed in the nineteenth century by Sir William Rowan Hamilton. This is done by using basic notions of matrix algebra founded on the idea of ordered pairs. We also reveal how complex numbers and rationals (fractions) developed in mainstream accounting science and became a leading platform for the ongoing processes within Industry 4.0. The paper concludes with examples of how accounting operations can be represented by matrix equations with the result of generating a final report. The author presents a mathematical model of accounting which is independent of specific existential forms, but which is capable of undertaking the form of any of them and thus which has the potential of being understood and accepted by specialists globally.

Suggested Citation

  • Anna Vysotskaya, 2018. "Accounting Games: Using Matrix Algebra in Creating the Accounting Models," Mathematics, MDPI, vol. 6(9), pages 1-9, August.
    • Handle: RePEc:gam:jmathe:v:6:y:2018:i:9:p:152-:d:166968
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    References listed on IDEAS

    as
    1. Anna Vysotskaya & Oleg Kolvakh & Greg Stoner, 2016. "Mutual calculations in creating accounting models: a demonstration of the power of matrix mathematics in accounting education," Accounting Education, Taylor & Francis Journals, vol. 25(4), pages 396-413, July.
    2. Demski, Joel S. & FitzGerald, Stephen A. & Ijiri, Yuji & Ijiri, Yumi & Lin, Haijin, 2006. "Quantum information and accounting information: Their salient features and conceptual applications," Journal of Accounting and Public Policy, Elsevier, vol. 25(4), pages 435-464.
    3. Irina Smirnova & Jaroslav Sokolov & Clive Emmanuel, 1995. "Accounting education in Russia today," European Accounting Review, Taylor & Francis Journals, vol. 4(4), pages 833-846.
    4. Alan Sangster & Giovanna Scataglinibelghitar, 2010. "Luca Pacioli: The Father of Accounting Education," Accounting Education, Taylor & Francis Journals, vol. 19(4), pages 423-438.
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