Dot products and duality | Chapter 9, Essence of linear algebra

Why the formula for dot products matches their geometric intuition. An equally valuable form of support is to simply share some of the videos. Dot products are a nice geometric tool for understanding projection. But now that we know about linear transformations, we can get a deeper feel for what's...

Intermediate - 14 min - AI & Data - 3Blue1Brown

The full course: Learn Math for ML free

What you'll need

• Laptop stand: Screen at eye level for long study sessions.
• Noise-cancelling headphones: Focus through long video lessons.
• Second monitor: Video on one screen, practice on the other.
• Wireless keyboard and mouse: Comfortable for hours of typing.

Books

1. Mathematics for Machine Learning by Marc Peter Deisenroth - View on Amazon
2. Naked Statistics by Charles J. Wheelan - View on Amazon
3. Practical Statistics for Data Scientists by Peter Bruce - View on Amazon
4. The Art of Statistics by David Spiegelhalter - View on Amazon
5. The Elements of Statistical Learning by Trevor Hastie - View on Amazon

Next lessons

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• How (and why) to take a logarithm of an image (45 min, 3Blue1Brown, Intermediate)
• Simulating an epidemic (23 min, 3Blue1Brown, Intermediate)
• But what are Hamming codes? The origin of error correction (20 min, 3Blue1Brown, Intermediate)
• Divergence and curl: The language of Maxwell's equations, fluid flow, and more (16 min, 3Blue1Brown, Intermediate)
• Solving Wordle using information theory (31 min, 3Blue1Brown, Intermediate)
• Taylor series | Chapter 11, Essence of calculus (22 min, 3Blue1Brown, Intermediate)