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Problem 3. Let n € ZÃ with n ≥ 3, and let r, s Є DÅ be the elements defined by s(v) = Sov v Є R². n v r(v) = R2 and 3.1. Prove that rks = sr¯k for all k Є Z. Sr14 Y = r5 3.2. Now let n = 6 and suppose σ, Y, μ E D 6 are the elements σ = and µ = sr³. Write σ(yμ) and (µy)σ in the form skr³ for some 0 ≤ k ≤ 1 and 0 ≤ j ≤ 5.

Problem 3. Let n € ZÃ with n ≥ 3, and let r, s Є DÅ be the elements defined by s(v) = Sov v Є R². n v r(v) = R2 and 3.1. Prove that rks = sr¯k for all k Є Z. Sr14 Y = r5 3.2. Now let n = 6 and suppose σ, Y, μ E D 6 are the elements σ = and µ = sr³. Write σ(yμ) and (µy)σ in the form skr³ for some 0 ≤ k ≤ 1 and 0 ≤ j ≤ 5.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 52RE
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Problem 3. Let n € ZÃ with n ≥ 3, and let r, s Є DÅ be the elements defined by s(v) = Sov v Є R². n v r(v) = R2 and 3.1. Prove that rks = sr¯k for all k Є Z. Sr14 Y = r5 3.2. Now let n = 6 and suppose σ, Y, μ E D 6 are the elements σ = and µ = sr³. Write σ(yμ) and (µy)σ in the form skr³ for some 0 ≤ k ≤ 1 and 0 ≤ j ≤ 5.
Transcribed Image Text:Problem 3. Let n € ZÃ with n ≥ 3, and let r, s Є DÅ be the elements defined by s(v) = Sov v Є R². n v r(v) = R2 and 3.1. Prove that rks = sr¯k for all k Є Z. Sr14 Y = r5 3.2. Now let n = 6 and suppose σ, Y, μ E D 6 are the elements σ = and µ = sr³. Write σ(yμ) and (µy)σ in the form skr³ for some 0 ≤ k ≤ 1 and 0 ≤ j ≤ 5.
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