Engineering Solutions through Linear Algebraic Principles

Volume: 10 | Issue: 1 | Year 2024 | Subscription
International Journal of Structural Mechanics and Finite Elements
Received Date: 05/18/2024
Acceptance Date: 06/03/2024
Published On: 2024-06-21
First Page: 26
Last Page: 33

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By: T.R. Vijayaram and N Ramya

1. Professor, Department of Mechanical Engineering, School of Mechanical Engineering, Bist, BIHER, Selaiyur, Chennai, Tamil Nadu, India
2. Professor, Department of Mathematics, SHSS, BIST, BIHER, Selaiyur, Chennai ,Tamil Nadu, India

Abstract

The field of mathematics concentrates on industrial problems and seeks solutions that are applicable to the industry. One area of mathematics that deals with the study of the physical sciences is called applied mathematics. Algebra is used by engineers to study and create structures, machinery, and electric circuits. They solve optimization equations, develop mathematical models to assess the safety and functionality of designs, and apply the results to analyze topics in fluid mechanics and thermodynamics. In electrical engineering, linear algebra is essential. Circuit analysis is one of the significant uses. Finding currents, voltages, and power distribution in electric circuits can be done with the use of linear algebra, which solves systems of linear equations. In the context of contemporary geometry instruction, linear algebra is regarded as a fundamental idea. Since it aids in the definition of fundamental objects like planes, lines, and object rotations, it is generally utilized in engineering as well as physics. In addition to its computational efficiency, it enables us to model a multitude of natural events. In practical applications, linear algebra is utilized to compute time, distance, and speed. By using linear maps, it is possible to project a three-dimensional image onto a plane in two dimensions. Data pertaining to statistical inferences, medical diagnosis, and decision-making are predicted using the linear regression model. Engineering applications of linear algebra are covered in this review paper.

Keywords: Electric Circuits, Linear Algebra, Electrical Engineering, Computer Science, Economics And Finance

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Citation:

How to cite this article: T.R. Vijayaram and N Ramya, Engineering Solutions through Linear Algebraic Principles. International Journal of Structural Mechanics and Finite Elements. 2024; 10(1): 26-33p.

How to cite this URL: T.R. Vijayaram and N Ramya, Engineering Solutions through Linear Algebraic Principles. International Journal of Structural Mechanics and Finite Elements. 2024; 10(1): 26-33p. Available from:https://journalspub.com/publication/engineering-solutions-through-linear-algebraic-principles/

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