Math Is Fun Forum

lanxiyu

Member

Registered: 2022-05-10

Posts: 52

Quaternions

Definition of quaternions multiplication: i^2 = j^2 = k^2 = ijk = -1
Quaternions multiplication is not commutative

Bob

Administrator

Registered: 2010-06-20

Posts: 10,621

Re: Quaternions

hi lanxiyu

Welcome to the forum.

Is this an exercise where we should prove this or are you asking for help with it as a problem you have been set.

Either way I had better start trying to construct a proof.  Hopefully, more when (if) I succeed.

LATER EDIT. From your top line I can show at least one product is not commutative.

Bob

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Children are not defined by school ...........The Fonz
You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei
Sometimes I deliberately make mistakes, just to test you!  …………….Bob