Applications of Linear Algebra in Solving Systems of Linear Equations
Year: 2026
Type: article
Abstract: Linear algebra plays a pivotal role in solving systems of linear equations, which arise naturally in various branches of science, engineering, economics, and social sciences. This research paper presents a comprehensive study of how linear algebraic concepts such as matrices, determinants, vector spaces, rank, linear transformations, and eigenvalues are applied to analyse and solve systems of linear equations. Both theoretical foundations and practical solution methods are discussed in detail. The paper also highlights computational techniques and real-world applications, making it suitable for academic and research purposes.
Author: Manisha Sahu
Language: English
Topic: Matrix Theory and Algorithms
Subfield: Computational Theory and Mathematics
Field: Computer Science
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7128086087
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