Applications of Matrices and Linear Algebra Methods in Engineering

Abstrak

Matrix theory and linear algebra are fundamental tools in modern engineering, enabling the modeling and solution of complex systems. This study aims to examine the applications of matrices and linear algebra methods across various engineering disciplines. The research employs analytical and comparative methods, focusing on techniques such as systems of linear equations, matrix transformations, eigenvalues, and numerical algorithms. The results show that matrix-based approaches improve computational efficiency, accuracy, and scalability in solving engineering problems. Practical applications are identified in structural analysis, electrical circuit design, signal processing, and computer modeling. The discussion highlights the growing importance of linear algebra in advanced fields such as artificial intelligence and data science, while also emphasizing the need for strong mathematical foundations for effective implementation. It is concluded that matrices and linear algebra methods are essential for innovation, optimization, and efficient problem-solving in engineering.