Скачать или смотреть What You Can't Do With Multivectors - From Zero to Geo 3.4

Up to this point in this chapter, we have mainly been focusing on the definition of the geometric product. But what algebraic properties does it satisfy, and what properties does it not satisfy? That is what we will look at in this video.

This video is a part of "From Zero to Geo", a series where we formulate geometric algebra, an incredibly powerful branch of mathematics, from the ground up. Full playlist here:    • From Zero to Geo  

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Supporters:
David Johnston
Jason Killian
jerrud
Richard Penner
trb

Sections:
00:00 Introduction
00:33 Properties of the Geometric Product
02:09 Multiplying Equations
02:59 Distributivity
04:57 Commutativity Exercise
05:27 When You Can Commute
05:50 Division
07:35 Calculating Inverses
09:59 Inverse of 1 + e1
11:20 Cancelling
12:20 What We Can Still Do
12:56 Concluding Exercise