Consider the group D4 = (a, b) = {e = (1), a, a², a³, b, ab, a²b, a³b} %3D where a = (1 23 4) and b (2 4). Compute (a³b)(a²b). Compute (a³b)(a³). А. а A. а В. a? В. a? С. a3 С. a3 D. b D.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Consider the group D4 = (a, b) = {e = (1), a, a², a³, b, ab, a²b, a³b}
where a =
(123 4) and b =
(2 4).
Compute (a³b)(a²b).
Compute (a³b)(a³).
А.
a
A.
а
В.
a?
В.
a?
С.
a3
С.
a3
D.
b
D.
b
Transcribed Image Text:Consider the group D4 = (a, b) = {e = (1), a, a², a³, b, ab, a²b, a³b} where a = (123 4) and b = (2 4). Compute (a³b)(a²b). Compute (a³b)(a³). А. a A. а В. a? В. a? С. a3 С. a3 D. b D. b
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