Chapters (23)
- 0:00Introduction to the course
- 8:30Linear Algebra Roadmap for 2024
- 27:50Course Prerequisites
- 36:05Refreshment: Real Numbers and Vector Spaces
- 40:18Refreshment: Norms and Euclidean Distance
- 52:13Why These Prerequisites Matter
- 54:40Foundations of Vectors
- 1:03:22Vector - Geometric Representation Example
- 1:25:35Special Vectors
- 1:38:13Application of Vectors
- 1:50:25Vectors Operations and Properties
- 2:24:14Advanced Vectors and Concepts
- 2:49:14Length of a Vector - def and example
- 2:54:33Length of Vector - Geometric Intuition
- 3:05:31Dot Product
- 3:20:00Dot Product, Length of Vector and Cosine Rule
- 3:34:00Cauchy Schwarz Inequality - Derivation & Proof
- 3:48:11Introduction to Linear Systems
- 4:03:53Introduction to Matrices
- 4:20:02Core Matrix Operations
- 5:00:41Solving Linear Systems - Gaussian Elimination
- 5:29:59Detailed Example - Solving Linear Systems
- 5:45:46Detailed Example - Reduced Row Echelon Form (Augmented Matrix,REF, RREF)
Show the creator's full description
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)
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