LAPLAS TEOREMASI ASOSIDA DETERMINANTLARNI HISOBLASH ALGORITMLARI VA ULARNI PYTHON DASTURLASH TILIDA AMALGA OSHIRISH

Sa’dullayeva Nilufar  Javlon qizi

doi:10.5281/zenodo.21158775

23.06.2026

100

Oʻzbekcha

LAPLAS TEOREMASI ASOSIDA DETERMINANTLARNI HISOBLASH ALGORITMLARI VA ULARNI PYTHON DASTURLASH TILIDA AMALGA OSHIRISH

Published

23.06.2026

Journal

Conceptual foundations of fundamental, applied, and innovative research in the transformation of pedagogical education and upbringing

Issue

Proceedings of the international scientific and practical conference on “Conceptual foundations of fundamental, applied, and innovative research in the transformation of pedagogical education and upbringing”

Pages

373-375

DOI

10.5281/zenodo.21158775

Authors

Sa’dullayeva Nilufar Javlon qizi

Abstract

Mazkur maqolada determinantlarni hisoblashning klassik usullaridan biri bo‘lgan Laplas teoremasi o‘rganilgan. Laplas yoyish formulasi asosida determinantlarni hisoblash algoritmi ishlab chiqilgan va Python dasturlash tilida realizatsiyasi keltirilgan. Determinantlarni hisoblashning matematik va algoritmik jihatlari tahlil qilinib, informatika fanidagi qo‘llanilish sohalari yoritilgan.

Keywords

Determinant Laplas teoremasi Python algebraik to‘ldiruvchi algoritm chiziqli algebra. matritsa minor rekursiya

Other language versions

Русский

В данной статье рассматривается теорема Лапласа — один из классических методов вычисления определителей. На основе формулы разложения Лапласа разработан алгоритм вычисления определителей и представлена его реализация на языке программирования Python. Проведён анализ математических и алгоритмических аспектов вычисления определителей, а также рассмотрены области применения в информатике.

Python Определитель алгебраическое дополнение алгоритм линейная алгебра матрица минор рекурсия теорема Лапласа

English

This paper examines the Laplace theorem, one of the classical methods for computing determinants. Based on the Laplace expasion formula, an algorithm for computing determinants has been developed and its implementation in the Python programming language is presented. The mathematical and algorithmic aspects of determinant computation are analyzed, and the application in the field of computer science are highlighted.

Determinant Laplace theorem Python algebraic complement algorithm linear algebra matrix minor recursion

References

1. Sh.A.Ayupov, B.A.Omirov A.X.Xudoyberdiyev. Chiziqli Algebra. “Muxr-Press” Toshlent,2023.-392 b

2. David C. Lay. Linear Algebra and Its Applications. Boston: Addison-Wesley, 2012. – 576 p.

3. Howard Anton. Elementary Linear Algebra. New York: John Wiley & Sons, 2010. – 768 p.

4. Al Sweigart. Automate the Boring Stuff with Python: Practical Programming for Total Beginners. San Francisco: No Starch Press, 2019. – 592 p.

5. Joel Grus. Data Science from Scratch: First Principles with Python. Sebastopol, CA: O'Reilly Media, 2019. – 406 p.

6. Sh. Xurramov. Chiziqli algebra va analitik geometriya. Toshkent: O‘zbekiston Respublikasi Oliy va o‘rta maxsus ta’lim vazirligi, 2008. – 320 b.

7. Bernard Kolman, David R. Hill. Elementary Linear Algebra. Upper Saddle River, NJ: Prentice Hall, 2000. – 608 p.

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