Description

ABSTRACT: The concept of matrices is a fundamental pillar in mathematics, extensively utilized in diverse fields such as engineering, computer science, physics, economics, and more. This project aims to explore the essential aspects of matrices, their properties, and their application in various real-world scenarios through mathematical modeling. The project begins with an in-depth introduction to matrices, covering their definition, types, operations, and properties. This foundational understanding sets the stage for delving into their myriad applications. We will examine how matrices are essential for solving systems of linear equations. Finally, the project will culminate in a comprehensive case study where matrices will be applied to a real-world problem, showcasing their utility in devising solutions and making data-driven decisions. This case study could involve optimizing transportation routes, predicting financial trends, or analyzing social dynamics based on data collected from relevant sources. By the end of this project, the readers will have gained a thorough understanding of matrices and their applications, recognizing their significance in modeling complex systems and solving diverse real-world challenges. The aim is to inspire further research and innovation in utilizing matrices to confront the ever-evolving complexities of the modern world.

Keywords: Matrix, Application, Mathematical Model and Linear Transformation