Items where Author is "Sagar, Jha"

Article

Sagar, Jha and Suresh, Kumar Sahani and Kameshwar i, Sahan (2024) MATRIX OPERATIONS: THE REAL-WORLD IMPLICATIONS OF MATRIXAnnotation:This undertaking explores the idea of matrices, their homes, and their diverse applications. It delves into essential matrix operations, including addition, subtraction, multiplication, and inversion, imparting a strong basis for know-how matrix algebra. The challenge similarly investigates the role of matrices in fixing systems of linear equations, representinglinear changes, and reading facts structures. by way of examining actual-world examples, this takes a look at highlights the importance of matrices in numerous fields consisting of engineering, pc technological know-how, and economics. in the end, this task aims to demystify the concept of matrices and showcase their sensible application. Matrices are fundamental mathematical structures with diverse applications. This project explores their core concepts, properties, and operations. We delve into their historical development and evolution from simple calculations to powerful computational tools. By examining real-world examples, we demonstrate the versatility and significance of matrices in problem-solving. Additionally, we discuss emerging trends and potential future developments in matrix-related research. This work is motivated by the work of [1-6].Keywords:InformationabouttheauthorsSagar JhaDepartment of Mathematics, MIT Campus, T.U., Janakpur Dham, Nepal;Suresh Kumar SahaniDepartment of Science and Technology, Rajarshi Janak University, Janakpur Dham, Nepal;Kameshwar SahaniDepartment of Civil Engineering, Kathmandu University, Nepal;Historical After the invention of determinants—which resulted from the study of coefficientsof systems of linear equations—the concept of a matrix and the field of linear algebra were introduced and developed. Cramer introduced his determinant-based solution for solving systems of linear equations (now known as Cramer's rule) in 1750, and Leibnitz, one of the calculus pioneers, employed determinant in 1963. JOURNAL OF THEORY, MATHEMATICS AND PHYSICS, 3 (8). pp. 14-22. ISSN 2181-4376