Applications of Determinants in Mathematics and Its Practical Implications

Authors

  • Nandeesha B R  Lecturer, Department of Science, Government Polytechnic, Holenarasipura, Karnataka, India
  • Yashvanth N  Lecturer, Department of Science, Government Polytechnic, Kushalnagar, Karnataka, India

Keywords:

Determinants, Linear Algebra, Matrix Theory, Eigenvalues, Cramer's Rule, Geometric Transformations, Computational Mathematics

Abstract

Determinants are fundamental mathematical tools used to solve a wide range of problems in mathematics and its applications in science and engineering. From linear algebra and differential equations to geometry and optimization, the determinant plays a key role in understanding matrix properties, solving systems of linear equations, and analyzing geometric transformations. This paper explores the theoretical foundations of determinants, discusses their applications in various domains such as linear algebra, geometry, physics, and computer science, and highlights their use in real-world problem-solving. The paper also outlines the challenges and advancements in computational methods for determinant calculation.

References

  1. Axler, S. (2015). Linear Algebra Done Right (3rd ed.). Springer.
  2. Boyd, S., & Vandenberghe, L. (2004). Convex Optimization. Cambridge University Press.
  3. Golub, G. H., & Van Loan, C. F. (2013). Matrix Computations (4th ed.). Johns Hopkins University Press.
  4. Schilling, M. F., & Harris, A. R. (2012). Fundamentals of Mathematics (2nd ed.). McGraw-Hill.
  5. Strang, G. (2009). Introduction to Linear Algebra (4th ed.). Wellesley-Cambridge Press.

International Journal of Scientific Research in Science and Technology

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Published

2015-12-30

Issue

Volume 1, Issue 5, November-December-2015

Section

Research Articles

License

Copyright (c) IJSRST

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

[1]
Nandeesha B R, Yashvanth N "Applications of Determinants in Mathematics and Its Practical Implications" International Journal of Scientific Research in Science and Technology(IJSRST), Online ISSN : 2395-602X, Print ISSN : 2395-6011,Volume 1, Issue 5, pp.412-415, November-December-2015.