Consider the product of cycles (1 2)(4 7 8)(2 1)(7 2 8 1 5) that are permutations of {1, 2, 3, 4, 5, 6, 7,8}. 1 Express as a product of transpositions. 2.The indicated product of cycles is even. a. True A. (1 2) b. False В. (1 8)(1 5) 2. Express it in two-line notation. (1 2 3 4 5 6 7 8) \5 4 3 2 1 C. (1 4)(1 2)(1 8)(1 5) A. 8 7 6 D. (2 7)(2 4)(1 8)(1 5) 1 2 3 4 5 6 7 8 \5 4 3 8 7 6 2 1 В. (1 2 3 4 5 6 7 8 5 4 C. 3 7 8 6 2 1/ 2 3 4 5 6 7 8 (5 4 3 7 6 8 2 1/ D. B.
Consider the product of cycles (1 2)(4 7 8)(2 1)(7 2 8 1 5) that are permutations of {1, 2, 3, 4, 5, 6, 7,8}. 1 Express as a product of transpositions. 2.The indicated product of cycles is even. a. True A. (1 2) b. False В. (1 8)(1 5) 2. Express it in two-line notation. (1 2 3 4 5 6 7 8) \5 4 3 2 1 C. (1 4)(1 2)(1 8)(1 5) A. 8 7 6 D. (2 7)(2 4)(1 8)(1 5) 1 2 3 4 5 6 7 8 \5 4 3 8 7 6 2 1 В. (1 2 3 4 5 6 7 8 5 4 C. 3 7 8 6 2 1/ 2 3 4 5 6 7 8 (5 4 3 7 6 8 2 1/ D. B.
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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Transcribed Image Text:Consider the product of cycles (12)(478)(2 1)(7 2 8 1 5) that are permutations of
{1, 2, 3, 4, 5, 6, 7,8}.
Express as a product of transpositions.
2.The indicated product of cycles is even.
1.
a. True
A.
(1 2)
b. False
В.
(1 8)(1 5)
2 Express it in two-line notation.
(1 2 3 4 5 6 7 8
5 4 3 2 1
C.
(1 4)(1 2)(1 8)(1 5)
A.
8 7 6
D.
(2 7)(2 4)(1 8)(1 5)
(1 2 3 4 5 6 7 8
5 4 3 8 7 6 2 1
В.
(1 2 3 4 5 6 7 8
4 3 7 8 6 2 1.
C.
.5
2 3 4 5 6 7 8
(5 4 3 7 6 8 2 1/
D.
B.
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