Consider the set that consists of the following six matrices 10 -6) :) I 0 1 C = (3) 0 1 A = D = 1 () :) (3) 1 0 0 1 --(::)) B -1 K = (19)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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(a) Show that the set of matrices given above equipped with the operation of matrix multiplication is a group. (b) Show that this group is not abelian.
Consider the set that consists of the following six matrices
0 1
I
-- () ^-(₁ :)
A =
1
B
=
0
1
(4)
C
c = ( ₁ ) - ( ₁1 )
(2) - (2)
(19)
D =
K =
1
0
Transcribed Image Text:Consider the set that consists of the following six matrices 0 1 I -- () ^-(₁ :) A = 1 B = 0 1 (4) C c = ( ₁ ) - ( ₁1 ) (2) - (2) (19) D = K = 1 0
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