Applications Of Matrices In Engineering

Authors: Professor P.S. Sutar, Ms. Anjali Bhosale, Ms.Neha Yadav, Ms.Shraddha Mane, Ms.Samrudhi Chavan, Ms. Kanchan Agalave, Ms. Pratiksha Suryawanshi, Ms.Nikata Jadhav, Mr. Shreyash Patil, Mr. Shubham Pawar

Abstract: Matrices are foundational tools in engineering, enabling efficient solutions to complex problems across multiple domains. This paper explores key applications in electrical circuits, structural analysis, computer graphics, and network theory. In electrical engineering, matrices support circuit analysis using nodal and mesh methods. In structural engineering, they form the basis of the finite element method, facilitating stress and deformation analysis. Computer graphics utilizes matrices for geometric transformations, while network theory employs them for flow and connectivity analysis. Advanced techniques like eigenvalue and singular value decomposition further enhance computational efficiency and system analysis. This paper presents a comprehensive overview of how matrices underpin modern engineering solutions.