(3) Let0 =1234 6789365 987in S9(a) Compute o2 and o(b) Write o as a product of disjoint cycles(c) Compute |o, the order of o(d) Write o as a product of transpositions(e) Is o even or odd?

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Answered: (3) Let σ= 123456789 365149872 in Sg…

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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Compute b4 b) recursively.
(b) Modular arithmetic Let x, y, N € N be n-bit integers such that N > 2. • If x < N, the value x" mod N can be computed using the following recursive formula: x" mod N = 1 X gcd (x, y) = The number of bit operations when using this method is O(.....). • If x ≥ y, the value gcd(x, y) can be computed using the following recursive formula: , if y = 0 , if y ≥ 1 -₁ , if y = 0 , if y = 1 , if y ≥ 2 even , if y ≥ 2 odd The number of bit operations when using this method is O(.....).
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(3) Let σ= 123456789 365149872 in Sg (a) Compute o2 and 0-1 (b) Write o as a product of disjoint cycles (c) Compute |o|, the order of o (d) Write o as a product of transpositions (e) Is o even or odd? σ