[sets and number] please explain it using simple words and step by step, thanks :) Exercise 8.3.a) Show that if o is a k-cycle, then ok is the identity.b) 1,Show that if o is a written as a product of disjoint cycles 0₁,...,0₁ of lengths1₁,..., lk. Then oll2..lk is the identity.σι

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Answered: Exercise 8.3. a) Show that if o is a…

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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Exercise 8.3. a) Show that if o is a k-cycle, then ok is the identity. b) Show that if o is a written as a product of disjoint cycles ₁,...,0₁ of lengths 1₁,..., lk. Then oll2k is the identity.