Introduction to Matrix Mathematics

Matrix mathematics is introduced in high school, typically in Algebra II, and becomes a requirement for college level mathematics and science programs. Jobs that require using matrix mathematics are electrical engineering, biomedical engineering, and aerospace engineering, just to mention a few.

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.

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.