Introduction to Matrix Mathematics

Matrix mathematics has many real world applications. This includes applications in computer graphics, physics, economics, and data science. In computer graphics, matrices are used for 3D transformations like rotation, translation, and scaling. In physics, they model electrical circuits, quantum mechanics, and optics. Economics utilizes matrices in input-output analysis and supply chain optimization. Data science and machine learning rely heavily on matrices for data representation, calculations, and algorithm implementation.

One important real-world application you’ll learn in this book is the “shortest path” algorithm. determining the shortest path is a very important and common procedure used in computer networking, supply chain management, electrical power
distribution, routing for vehicles, and may other applications.

This book explains the concepts matrix mathematics in a logical order with many examples, which increases the ability to learn. It focuses on the most difficult operations of matrix mathematics, like determinants. It provide real world examples, like solving systems of equations, electronic circuit analysis, and geometric transformations.

After you complete this book you’ll realize that matrix mathematics is not just a curious offshoot of mathematics, but a powerful tool to solve many fascinating problems.