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**lanxiyu****Member**- Registered: 2022-05-10
- Posts: 2

Definition of quaternions multiplication: i^2 = j^2 = k^2 = ijk = -1

Quaternions multiplication is not commutative

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**Bob****Administrator**- Registered: 2010-06-20
- Posts: 9,607

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

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

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