Let Qg be the set of quaternions, defined by the matri {±1,±i,±j, ±k} where %3D Qg is an abelian group. Qg is a group under matrix multiplication. Qg is not an abelian group. Qg is not a group under matrix multiplication.
Let Qg be the set of quaternions, defined by the matri {±1,±i,±j, ±k} where %3D Qg is an abelian group. Qg is a group under matrix multiplication. Qg is not an abelian group. Qg is not a group under matrix multiplication.
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter3: Groups
Section3.1: Definition Of A Group
Problem 39E: 39. Let be the set of all matrices in that have the form
for arbitrary real numbers , , and ....
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