Linear Algebra Course – Mathematics for Machine Learning and Generative AI

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​ Learn 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:
? davthecoder
? jedi-or-sith
? 南宮千影
? Agustín Kussrow
? Nattira Maneerat
? Heather Wcislo
? Serhiy Kalinets
? Justin Hual
? Otis Morgan
? Oscar Rahnama

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