5. Let 1234 5 67 8 7 4 13 6 5 8 2 p = (a). Write p as a product of disjoint cycles. (2) (b) Write p as a product of transpositions. (3) (с) Is p an even or odd permutation? Explain.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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please answer: a, b and c
5. Let
1 2 3 4 5 67 8
p =
7 4 1 3 6 5 8 2
(a) Write p as a product of disjoint cycles.
(2)
(b) Write p as a product of transpositions.
(3)
(c) Is p an even or odd permutation? Explain.
(d) Compute pop.
(e) Compute p.
(g) Find a permutation q such that
Transcribed Image Text:5. Let 1 2 3 4 5 67 8 p = 7 4 1 3 6 5 8 2 (a) Write p as a product of disjoint cycles. (2) (b) Write p as a product of transpositions. (3) (c) Is p an even or odd permutation? Explain. (d) Compute pop. (e) Compute p. (g) Find a permutation q such that
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