1. 2. (1 2 3 4 5 6 7 4 5 1 7 8 Let a = 2 3 Write aß as products of disjoint cycles. A. (13746285) B. (12485736) C. (1 2 3 4 5) (678) (2 3 8 4 7) (56) D. (23847) (56) (1 2 3 4 5)(678) Write aß as products of 2-cycles. A. (1 3) (1 7) (14) (16) (1 2) (1 8) (15) B. C. (1 2) (14) (1 8) (15) (17) (1 3) (16) (15) (1 8) (1 2) (1 6) (14) (17) (13) (16) (1 3) (17) (15) (1 8) (14) (12) D. 1 2 3 4 5 6 7 8 6 5 2 1 3 8 7 Compute (aß)100 2 3 4 A. 5 6 7 8 6 2 8 8) 5 7 4 3 1 (1 2 3 4 5 (5 7 4 3 6 7 8 B. 1 8 2 8) 6 (1 2 3 4 5 6 7 8 C. 9) 6 3 2 5 4 1 8 7 (1 2 3 4 5 6 7 8 D. 8) 3 2 5 4 1 7 8 8) and B 3. = 6

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
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Please answer 1 to 3

1.
2.
(1
Let a =
2 3 4 5 6 7
5 1 7 8
2 3
4
Write aß as products of disjoint cycles.
A.
(13746285)
B.
(12485736)
C.
(1 2 3 4 5) (678) (2 3847) (56)
D.
(23847) (56) (1 2 3 4 5)(678)
Write aß as products of 2-cycles.
A.
(1 3) (17) (14) (16) (1 2) (1 8) (15)
B.
C.
(1 2) (1 4) (1 8) (1 5) (1 7) (1 3) (16)
(15) (1 8) (1 2) (1 6) (14) (17) (1 3)
(1 6) (1 3) (1 7) (15) (1 8) (14) (12)
D.
1 2 3 4 5 6 7 8
8) ²
) and B = (₁
8).
64
1
3
8
7
6
5 2 4
Compute (aß)100
2 3
4
5
6
7 8
A.
5 7 4
3
1
6
2 84
2 3
4
5
6 7
8
B.
8)
5
4 3
1
8 2 6
2 3 4 6 8
C.
(6 3 2 5 5 1 7 9 )
8
(1 2 3 4
5
6
7 8
D.
8)
6 3
2 5
4
7 8
3.
15
27
1
Transcribed Image Text:1. 2. (1 Let a = 2 3 4 5 6 7 5 1 7 8 2 3 4 Write aß as products of disjoint cycles. A. (13746285) B. (12485736) C. (1 2 3 4 5) (678) (2 3847) (56) D. (23847) (56) (1 2 3 4 5)(678) Write aß as products of 2-cycles. A. (1 3) (17) (14) (16) (1 2) (1 8) (15) B. C. (1 2) (1 4) (1 8) (1 5) (1 7) (1 3) (16) (15) (1 8) (1 2) (1 6) (14) (17) (1 3) (1 6) (1 3) (1 7) (15) (1 8) (14) (12) D. 1 2 3 4 5 6 7 8 8) ² ) and B = (₁ 8). 64 1 3 8 7 6 5 2 4 Compute (aß)100 2 3 4 5 6 7 8 A. 5 7 4 3 1 6 2 84 2 3 4 5 6 7 8 B. 8) 5 4 3 1 8 2 6 2 3 4 6 8 C. (6 3 2 5 5 1 7 9 ) 8 (1 2 3 4 5 6 7 8 D. 8) 6 3 2 5 4 7 8 3. 15 27 1
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