Linear Algebra Crash Course - Mathematics for Machine Learning and Generative AI
Linear Algebra Crash Course - Mathematics for Machine Learning and Generative AI 관련
Linear algebra is a useful skill for professionals in data science, machine learning, and AI. We just posted a course on the freeCodeCamp.org YouTube channel that will teach you linear algebra.
This crash course spans just over 6 hours and is a great starting point for beginners. It serves as the foundation for mastering linear algebra and sets you up for success in more advanced topics.
Tatev Aslanyan created this course. She is a seasoned Data Science and AI professional with over half a decade of international experience.
The course combines academic-level material with industry insights, leveraging resources and textbooks. You'll see how university concepts seamlessly translate into practical applications. The course features practical examples, including a detailed one-hour walkthrough of solving systems of linear equations with Gaussian elimination by hand, a core technique in linear algebra.
Course Structure
The course is divided into the following sections:
- Introduction to the Course
- Linear Algebra Roadmap for 2024
- Course Prerequisites
- Refreshment: Real Numbers and Vector Spaces
- Refreshment: Norms and Euclidean Distance
- Why These Prerequisites Matter
- Foundations of Vectors
- Vector - Geometric Representation Example
- Special Vectors
- Application of Vectors
- Vector Operations and Properties
- Advanced Vectors and Concepts
- Length of a Vector - Definition and Example
- Length of Vector - Geometric Intuition
- Dot Product
- Dot Product, Length of Vector, and Cosine Rule
- Cauchy Schwarz Inequality - Derivation & Proof
- Introduction to Linear Systems
- Introduction to Matrices
- Core Matrix Operations
- Solving Linear Systems - Gaussian Elimination
- Detailed Example - Solving Linear Systems
- Detailed Example - Reduced Row Echelon Form (Augmented Matrix, REF, RREF)
Conclusion
This course offers a solid foundation in linear algebra, serving as a fantastic warm-up for anyone looking to explore generative AI in our upcoming courses. Watch the full course on the freeCodeCamp.org YouTube channel (6-hour watch).
