Linear Algebra Course – Mathematics for Machine Learning and Generative AI

By freeCodeCamp.org
Published: May 27, 2024

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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
???? ????
???? Agustín Kussrow
???? Nattira Maneerat
???? Heather Wcislo
???? Serhiy Kalinets
???? Justin Hual
???? Otis Morgan
???? Oscar Rahnama

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