Linear Algebra Course – Mathematics for Machine Learning and Generative AI
4,581Learn linear algebra in this course for beginners. This course covers the linear algebra skills needed for data science, machine learning, and AI, with a focus on practical applications and real-world examples.
✏️ Course developed by @LunarTech_ai
Learn more linear algebra with this 25+ hour course: https://academy.lunartech.ai/product/fundamentals-to-linear-algebra
⭐️ Contents ⭐️
⌨️ (0:00:00) Introduction to the course
⌨️ (0:08:30) Linear Algebra Roadmap for 2024
⌨️ (0:27:50) Course Prerequisites
⌨️ (0:36:05) Refreshment: Real Numbers and Vector Spaces
⌨️ (0:40:18) Refreshment: Norms and Euclidean Distance
⌨️ (0:52:13) Why These Prerequisites Matter
⌨️ (0:54:40) Foundations of Vectors
⌨️ (1:03:22) Vector - Geometric Representation Example
⌨️ (1:25:35) Special Vectors
⌨️ (1:38:13) Application of Vectors
⌨️ (1:50:25) Vectors Operations and Properties
⌨️ (2:24:14) Advanced Vectors and Concepts
⌨️ (2:49:14) Length of a Vector - def and example
⌨️ (2:54:33) Length of Vector - Geometric Intuition
⌨️ (3:05:31) Dot Product
⌨️ (3:20:00) Dot Product, Length of Vector and Cosine Rule
⌨️ (3:34:00) Cauchy Schwarz Inequality - Derivation & Proof
⌨️ (3:48:11) Introduction to Linear Systems
⌨️ (4:03:53) Introduction to Matrices
⌨️ (4:20:02) Core Matrix Operations
⌨️ (5:00:41) Solving Linear Systems - Gaussian Elimination
⌨️ (5:29:59) Detailed Example - Solving Linear Systems
⌨️ (5:45:46) Detailed Example - Reduced Row Echelon Form (Augmented Matrix,REF, RREF)
🎉 Thanks to our Champion and Sponsor supporters:
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👾 Serhiy Kalinets
👾 Justin Hual
👾 Otis Morgan
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