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

🔒 This is a subscription article

Full text is available to subscribers and institutional members. Please choose an option below to access it.

1. Goodaire, E. (2013). Linear algebra: pure & applied. World Scientific Publishing Company.
2. Mohan C Joshi, Ordinary Differential Equations - Modern Perspective, Alpha Science International Limited, 2006.
3. Byrnes, C. I., & Martin, C. F. (Eds.). (2012). Geometrical Methods for the Theory of Linear Systems: Proceedings of a NATO Advanced Study Institute and AMS Summer Seminar in Applied Mathematics held at Harvard University, Cambridge, Mass., June 18–29, 1979 (Vol. 62). Springer Science & Business Media.
4. Hajarian, M., Yuan, J., & Kyrchei, I. (2016). Applications of methods of numerical linear algebra in engineering 2016. Mathematical Problems in Engineering, 2016.
5. Gudoshnikov, I., Makarenkov, O., & Rachinskii, D. (2022). Finite-time stability of polyhedral sweeping processes with application to elastoplastic systems. SIAM Journal on Control and Optimization, 60(3), 1320-1346..
6. Devi, J. V., Deo, S. G., & Khandeparkar, R. (2021). Linear Algebra to Differential Equations. Chapman and Hall/CRC.
7. Akbar, K. A., Kannan, V., Gopal, S., & Chiranjeevi, P. (2009). The set of periods of periodic points of a linear operator. Linear algebra and its Applications, 431(1-2), 241-246.
8. CIA, E., & AL, O. PG & RESERACH DEPARTMENT OF MATHEMATICS B. Sc. MATHEMATICS PROGRAMME SCHEME OF EXAMINATIONS (2019-22 BATCH). Astronomy, 1, 1.
9. Nambooripad, K. S. S., & Rajendran, D. (2006). Symmetry on Real Hilbert Spaces. Southeast Asian Bulletin of Mathematics, 30(4).

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

🔒 This is a subscription article

Full text is available to subscribers and institutional members. Please choose an option below to access it.

1. Goodaire, E. (2013). Linear algebra: pure & applied. World Scientific Publishing Company.
2. Mohan C Joshi, Ordinary Differential Equations - Modern Perspective, Alpha Science International Limited, 2006.
3. Byrnes, C. I., & Martin, C. F. (Eds.). (2012). Geometrical Methods for the Theory of Linear Systems: Proceedings of a NATO Advanced Study Institute and AMS Summer Seminar in Applied Mathematics held at Harvard University, Cambridge, Mass., June 18–29, 1979 (Vol. 62). Springer Science & Business Media.
4. Hajarian, M., Yuan, J., & Kyrchei, I. (2016). Applications of methods of numerical linear algebra in engineering 2016. Mathematical Problems in Engineering, 2016.
5. Gudoshnikov, I., Makarenkov, O., & Rachinskii, D. (2022). Finite-time stability of polyhedral sweeping processes with application to elastoplastic systems. SIAM Journal on Control and Optimization, 60(3), 1320-1346..
6. Devi, J. V., Deo, S. G., & Khandeparkar, R. (2021). Linear Algebra to Differential Equations. Chapman and Hall/CRC.
7. Akbar, K. A., Kannan, V., Gopal, S., & Chiranjeevi, P. (2009). The set of periods of periodic points of a linear operator. Linear algebra and its Applications, 431(1-2), 241-246.
8. CIA, E., & AL, O. PG & RESERACH DEPARTMENT OF MATHEMATICS B. Sc. MATHEMATICS PROGRAMME SCHEME OF EXAMINATIONS (2019-22 BATCH). Astronomy, 1, 1.
9. Nambooripad, K. S. S., & Rajendran, D. (2006). Symmetry on Real Hilbert Spaces. Southeast Asian Bulletin of Mathematics, 30(4).