Applied Linear Algebra: Real-World Applications of Matrices
Explore the practical power of matrices and linear algebra. Learn how these mathematical tools drive computer graphics, Google's PageRank algorithm, physics simulations, and modern data science.
Course Overview
This course flips the script on linear algebra by focusing on the incredible real-world applications of matrices. You will discover how the math you learn in the classroom directly powers modern technology, from video game engines to search engines.
What You'll Learn
- Computer Graphics & Transformations: How matrices scale, rotate, and translate 3D objects in virtual space.
- Web Search & PageRank: The mathematical foundation of Google's original search algorithm.
- Systems of Equations: Solving complex real-world problems using matrix representation.
- Data Science & Machine Learning: Why matrices are the fundamental building blocks of modern AI algorithms.
Prerequisites
- Basic understanding of algebra and coordinate systems.
- No advanced programming or high-level math background required.
Target Audience
This course is designed for students, educators, and software developers who want to understand the why behind linear algebra and see matrices in action.
Course Content
Introduction to Matrix Transformations and Computer Graphics
Matrices as Geometric Transformations
Matrix Projection in 3D Computer Graphics
Network Analysis: Google's PageRank and Systems of Equations
Solving Network Flows and Systems of Equations
Google's PageRank and Web Dominance
This course includes
- 36m on-demand video
- 4 lessons across 2 chapters
- 2 interactive quizzes
- Access on mobile and desktop
- Source playlist on YouTube
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