Application of Method of Rank for Handling Keynesian Model of National Income
Abstract
The theory of matrices, which serves as a fundamental mathematical instrument, presents itself as an invaluable resource in grappling with urgent economic challenges and proposing pragmatic answers to intricate problems faced within various economic contexts. By harnessing the advantages that matrix theory offers, a wide array of perplexing economic dilemmas can be effectively tackled and resolved with a high level of accuracy and precision. This examination thoroughly immerses itself in elucidating the practical application of the method of rank within the economic domain, particularly focusing on its utilitarian role in analyzing the Keynesian model of national income. The empirical evidence uncovered within this study underscores the method of rank’s efficiency by showcasing its ability to deliver exact and meticulous solutions, thus significantly reducing the otherwise burdensome computational workload. By shedding light on the substantial impact that mathematical frameworks, such as the method of rank, have on refining economic analyses and enhancing decision-making processes, this paper underscores the transformative influence of applying rigorous mathematical principles within concrete economic scenarios. The intricate relationship between mathematical methodologies and economic analyses emphasizes how the diligent application of robust mathematical techniques has the potential to revolutionize real-world economic situations profoundly. By meticulously examining the various applications of the method of rank, this research contributes significantly to the enhancement of comprehension regarding how mathematical tools can elevate economic models while aiding in the formulation of strategic policies. Ultimately, the seamless fusion of matrix theory with economic theories doesn’t just refine analytical outputs but also encourages innovation and effectiveness in addressing economic dilemmas on a wide-ranging scale.
References
2. Kreyszig, E., Advanced Engineering Mathematics, Wiley, 2015.
3. Jain, R.K. and Iyenger, S.R.K., Advanced Engineering Mathematics, 5th Ed., Narosa, New-Delhi, India, 2016.
4. Grewal, B.S., Higher Engineering Mathematics, 44th Ed., Khanna Publishers, Delhi, India, 2017.
5. Howard, A., Elementary Linear Algebra with Applications, Wiley, 2000.
6. Agrawal, R.S., Senior Secondary School Mathematics, Bharti Bhawan, 1995.
7. Ferrar, W.L., Algebra-A Text-Book of Determinants, Matrices, and Algebraic Forms, Oxford University Press.
8. Aggarwal, S. and Shahida, A.T., Matrices and Differential Equations, Astitva Prakashan, Chhattisgarh, India, 2022.
9. Eves, H., Elementary Matrix Theory, Dover publications.
10. Miller, G., Numerical Analysis for Engineers and Scientists, Cambridge University Press, United Kingdom, 2014.
11. Kumari, K. and Poonia, R.K., A study of solving system of linear equation using different methods and its real life applications, Journal of University of Shanghai for Science and Technology, 23(7), 723-733, 2021.
12. Abdullah, G.O., Methods used for solving linear equation systems, Journal of Research in Applied Sciences and Biotechnology, 2(3), 114-117, 2023. https://doi.org/10.55544/jrasb.2.3.15
13. Yamane, Mathematics for Economist, Prentice Hall Publication, New Delhi, India.
14. Singh, D., Mathematics for Economists, Laxmi Publications, New Delhi, India.