Vectors & Subspaces Explained Visually | Linear Algebra for AI & Data Science

Unlock the power of linear algebra with this beginner-friendly, animated explanation of Vectors and Subspaces — core concepts behind AI, Data Science, and Machine Learning!

🚀 In this video, you’ll learn:

✅ What are vectors? Explained with real-world analogies and geometric intuition

✅ What defines a subspace in linear algebra

✅ The 3 essential subspace properties:
• Zero vector inclusion
• Closure under addition
• Closure under scalar multiplication

🎯 Why it matters in Data Science:

🔹 Vector Addition – Combine features in recommendation systems

🔹 Scalar Multiplication – Update weights in gradient descent

🔹 Linear Transformations – Used in PCA for dimensionality reduction and data visualization

🎬 Visually explained with Manim animations that bridge math and machine learning.

🎓 Perfect for:

AI and Data Science beginners

Machine Learning students

Curious minds who want to understand the math behind AI

📬 Connect with the Creator:
✉️ datascientist.ld1981@gmail.com
🔗 Lakshmi Devi on LinkedIn

👉 Next Video Preview:
📘 “Introduction to Probability for Data Science” – Learn how randomness powers predictions in AI models like chatbots, diagnostics & more!

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Видео Vectors & Subspaces Explained Visually | Linear Algebra for AI & Data Science канала Lakshmi Devi S