Let a, 3, y e Sym (10) be given as follows: α= B = 0 0 1 2 3 4 5 6 7 8 0 6 4 1 2 5 9 8 1 2 3 4 5 6 7 8 9

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Chapter2: Second-order Linear Odes
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Exercise 8.1. Let a, 6,7 € Sym (10) be given as follows:
α =
0 1 2 3 4 5 6 7 8
(8
4 1 2
x=
306
0
B = (0
5 9 8 7
1 2 3 4 5 6 7 8 9
3 2 1 0
6 5 4
9 8 7
0 1 2 3 4 5 6 7 8 9
3 4 5 2 6 1 8 9 7 0
8)
a) Write a ¹, aßy, yßy-¹ as products of disjoint cycles.
b) Write a as a product of transpositions.
Transcribed Image Text:Exercise 8.1. Let a, 6,7 € Sym (10) be given as follows: α = 0 1 2 3 4 5 6 7 8 (8 4 1 2 x= 306 0 B = (0 5 9 8 7 1 2 3 4 5 6 7 8 9 3 2 1 0 6 5 4 9 8 7 0 1 2 3 4 5 6 7 8 9 3 4 5 2 6 1 8 9 7 0 8) a) Write a ¹, aßy, yßy-¹ as products of disjoint cycles. b) Write a as a product of transpositions.
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