Exterior Product. Why Linear Algebra may not be last

By Medium - 2021-03-19

Description

After working with Linear Algebra for a while, you start to forget that some small stuff doesn’t really make sense. The zigzaggy pattern is at first confusing but you’re told to rest assured. You can…

Summary

  • Cross Product But for some mysterious reason, the cross product is only defined on ℝ³.
  • 🤔 Consider that when you work with any sort of dataset you’re dealing with dimensions much larger than ℝ³, so why is that you see inner products all over deep learning code but not so much the cross product even though it does compute something useful.
  • Area(a,b) = -Area(b,a) 2.
  • Area(a, b + c) = Area(a,b) + Area(a,c) Now if we rename Area(a,b) to a ∧ b you’ll see how the Area of a parallelogram is just a special application of the wedge product a ∧ b =-b ∧ a 2.
  • (

 

Topics

  1. Machine_Learning (0.21)
  2. NLP (0.12)
  3. Security (0.08)

Similar Articles

Understanding the Product Lifecycle

By Qualtrics - 2020-12-02

Learn how the product lifecycle takes you from great idea to finished product, sparks new concepts and gives you a deeper understanding of your customer.

A Complete Guide to Flexbox

By CSS-Tricks - 2020-12-03

Our comprehensive guide to CSS flexbox layout. This complete guide explains everything about flexbox, focusing on all the different possible properties for the parent element (the flex container) and ...

Home

By fast - 2020-08-21

Making neural nets uncool again

WTF is Strategy

By hackernoon - 2020-12-10

#startups #Management #success