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ISSN:2394-3661 | Crossref DOI | SJIF: 5.138 | PIF: 3.854

International Journal of Engineering and Applied Sciences

(An ISO 9001:2008 Certified Online and Print Journal)

Advancements in Linear Algebra: From Theory to Applications

( Volume 10 Issue 12,December 2023 ) OPEN ACCESS
Author(s):

Dr. Raman

Keywords:

Linear Algebra, computational problems, matrix theory

Abstract:

This paper provides a comprehensive exploration of linear algebra and matrix theory, two fundamental areas of mathematics with extensive applications across various scientific and engineering disciplines. We delve into the core concepts of vector spaces, linear transformations, matrices, and eigenvalues, highlighting their theoretical foundations and practical significance. The study also reviews recent advancements in numerical linear algebra, emphasizing the development of efficient algorithms for solving large-scale computational problems. Through a combination of theoretical analysis and practical examples, we demonstrate how linear algebra and matrix theory are pivotal in addressing complex challenges in data science, engineering, and beyond. Our findings underscore the ongoing importance of these mathematical tools in modern research and application, offering insights into future trends and potential innovations in the field.

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