Here is a unitary representation of the group D3 illustrated in Fig. 17.2:U(1) =U(C3) =U(C}):U(C2) =%3D-1U(C):U(C;) = ((17.2) Show that these four matrices form a representation of the Vierergruppe, whose multi-plication table is in Table 17.2.17.2.2-1A=B =C-10 -17 2

17.2.2 We have to show that given matrices I,A,B and C form a Vierergruppe. Concept:…

Answered: Show that these four matrices form a…

Show that these four matrices form a representation of the Vierergruppe, whose multi- plication table is in Table 17.2. 1=(6 9). a=(% -^). B-( :) c-(" -). 0 1 B = C =

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter2: Matrices

Section2.1: Operations With Matrices

Problem 77E

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Question

100%

Here is a unitary representation of the group D3 illustrated in Fig. 17.2:
U(1) =
U(C3) =
U(C}):
U(C2) =
%3D
-1
U(C):
U(C;) = (
(17.2)

Show that these four matrices form a representation of the Vierergruppe, whose multi-
plication table is in Table 17.2.
17.2.2
-1
A=
B =
C
-1
0 -
17 2

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