] Given the permutations1 2 32 6 3 5:)46.41and B =2 36.a =145 3 1 6 4 2(a) Compute B o a .(b) Determine (B o a)-1.(c) Express (1 4) (3 6)-1 (1 6 2)-1 as a single cycle or a product of disjoint cycles.

The objective is to solve the above question.

Answered: ] Given the permutations 1 2 3 2 6 3 5…

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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§3.3, Exercise 5. Let x = (3, –2), y = (2,3), and z numbers a, ß, y does (1, 4). For which real ах + By + 72 %3 (1,—2)?
. Let e; = [0, ...,0, 1,0, . ,0], where 1 is the ith entry. Show (a) e;A = A¡, ith row of A. (b) Be = B', jth column of B. (c) If e;A = e;B, for each i, then A = B. (d) If Aef = Bef , for each j, then A = B.
[1 2 3 4 5 5 2 3 4 1 [1 2 3 4 5] 1 5 4 3 2 1. Let o = and T = be permutations in S6. (a) (2 points) Write o and 7 in disjoint cycle notation. (b) (2 points) Compute (oT)². (c) (3 points) Compute or-'o. (d) (3 points) Compute 7²o².
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(c) Define a permutation of A. (d) Express the product of the cycles (1,2)(4,7,8) (2, 1) (7.2.8.1.5), as a single permutation of the set (1,2,3,4,5,6,7,8).
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Expand this (problem linked as image)

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] Given the permutations 1 2 3 2 6 3 5 :) 1 2 3 5 3 1 6 4 2 4 6. 4 6. and B = 4 1 (a) Compute B o a. (b) Determine (Boa)-1. (c) Express (1 4) (3 6)-1 (1 6 2)-! as a single cycle or a product of disjoint cycles.