MATRICES, VECTOR, DIFFERENTIAL AND INTEGRAL, SOME OPERATIONS PERFORMED ON THEM

Authors

  • Karshiboyev Khayrulla Kilichevich,Abdullaeva Gulrukh Erkin kizi Samarkand Institute of Economics and Service

Keywords:

matrix, vector, derivative, integral, linear algebra, analysis, mathematical modeling.

Abstract

This article analyzes the fundamental concepts of linear algebra and mathematical analysis — matrices, vectors, derivatives, and integrals — as an interconnected system. The study highlights their theoretical and practical applications in mathematical modeling, engineering, economics, and physics, as well as the main operations performed on them. The results demonstrate that these four mathematical concepts form a unified mathematical foundation for modern science and technology.

References

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Leontief, W. (1941). The Structure of the American Economy, 1919–1929. Harvard University Press.

Qodirov, A. (2019). Iqtisodiy jarayonlarni modellashtirishda differensial va integral hisobning o‘rni. TMI nashriyoti.

Mamatqulov, S. (2021). Matritsalar va vektorlarning zamonaviy qo‘llanilishi. O‘zbekiston Milliy Universiteti jurnali.

Stewart, J. (2016). Calculus: Early Transcendentals. Cengage Learning.

Strang, G. (2019). Linear Algebra and Its Applications. MIT Press.

Lay, D. (2020). Linear Algebra and Differential Equations. Pearson Education.

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Published

2025-10-31 — Updated on 2025-10-31

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How to Cite

Karshiboyev Khayrulla Kilichevich,Abdullaeva Gulrukh Erkin kizi. (2025). MATRICES, VECTOR, DIFFERENTIAL AND INTEGRAL, SOME OPERATIONS PERFORMED ON THEM. Ethiopian International Multidisciplinary Research Conferences, 524–527. Retrieved from https://eijmr.org/conferences/index.php/eimrc/article/view/1551