PROBLEM 2 Let σ, TEST be defined by the formulae 1 2 3 4 5 6 7 στ 5 4 1 6723 and T = (6 1)(5 1)(4 1)(3 1) (2 1) 2.1 Find the cycle decompositions and orders of σ, 7 and σ7. 2.2 Consider the elements s5r² and sr4 in Ds. Write the product (sr4) (s5r²) in the form skj for some 0 ≤ k ≤ 1 and 0 ≤ j ≤7.

PROBLEM 2 Let σ, TEST be defined by the formulae 1 2 3 4 5 6 7 στ 5 4 1 6723 and T = (6 1)(5 1)(4 1)(3 1) (2 1) 2.1 Find the cycle decompositions and orders of σ, 7 and σ7. 2.2 Consider the elements s5r² and sr4 in Ds. Write the product (sr4) (s5r²) in the form skj for some 0 ≤ k ≤ 1 and 0 ≤ j ≤7.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter9: Systems Of Equations And Inequalities

Section9.8: Determinants

Problem 2E

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