I need this question completed in 5 minutes with handwritten working out Question 1 Permutations. Consider the permutation σ = (123) (135) (245) (1 2).(a) Write σ as a product of disjoint cycles.(b) Determine whether σ is even or odd.(c) Find the order of σ.(d) Find the inverse of σ.

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Answered: Question 1 Permutations. Consider the…

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 1 Permutations. Consider the permutation σ = (123) (135) (245) (1 2). (a) Write σ as a product of disjoint cycles. (b) Determine whether σ is even or odd. (c) Find the order of σ. (d) Find the inverse of σ.