Two Forms of the Dot Product
gregorygundersen.com
Two Forms of the Dot Product
Matrix multiplication is not easy to understand.
Even looking at the definition used to make me sweat, let alone trying to comprehend the pattern. Yet, there is a stunningly simple explanation behind it.
Let's pull back the curtain! https://t.co/4ZW8aFAhlZ
Excerpt from a video I just posted on YouTube (about the multilayer perception layers in a transformer, and how LLMs may store facts). https://t.co/HDNWzX6AxX
Grant Sandersonx.commath is about ideas — formulas are just a way to express them. Once the central concept is clear, the equations snap into place. Here’s a strategy that has helped me:
- Step 1: Find the central theme of a math concept. This can be difficult, but try starting with its history. Where was the idea first used? What was the discoverer doing? This use may
betterexplained.com • Developing Your Intuition for Math – BetterExplained
In ordinary Euclidean space, the dot product of two vectors is the product of the length of both vectors times the cosine of the angle between them.