Homework Help is Here – Start Your Trial Now!
Math
Advanced Math
Please do Exercise 14.3.17 part A,C,E and please show step by step and explain

Please do Exercise 14.3.17 part A,C,E and please show step by step and explain

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 33EQ
See similar textbooks
icon
Related questions
Question

Please do Exercise 14.3.17 part A,C,E and please show step by step and explain

Example 14.3.16. At the beginning it may be helpful to draw a picture, as in the previous example. However, once you gain experience, you should be able to find the product of cycles directly. Consider the product or where a = (AEDBF) and 7 = (ABDFE). Then we have: • 1 takes A → B and o takes B →F; hence or takes A → F. • takes F → E, and o takes E → D; hence or takes F + D. • 1 takes D+ F, and o takes F + A; hence or takes D → A. We have finished a cycle: (AFD). Let us check where the other letters B,C, E go: T takes B → D, and o takes D - B; hence oT takes B + B. Neither 7 nor o affects C; hence or takes C -C. I takes E → A, and o takes A → E; hence or takes E → E. Since B, C, E are unaffected by or, we conclude that or = (AFD). Exercise 14.3.17. Given that ð = (135), a = (347), and p = (567) are permutations in S7, compute the following: (a) ốo (c) ốp (e) op (b) aổ (d) på (f) po
Transcribed Image Text:Example 14.3.16. At the beginning it may be helpful to draw a picture, as in the previous example. However, once you gain experience, you should be able to find the product of cycles directly. Consider the product or where a = (AEDBF) and 7 = (ABDFE). Then we have: • 1 takes A → B and o takes B →F; hence or takes A → F. • takes F → E, and o takes E → D; hence or takes F + D. • 1 takes D+ F, and o takes F + A; hence or takes D → A. We have finished a cycle: (AFD). Let us check where the other letters B,C, E go: T takes B → D, and o takes D - B; hence oT takes B + B. Neither 7 nor o affects C; hence or takes C -C. I takes E → A, and o takes A → E; hence or takes E → E. Since B, C, E are unaffected by or, we conclude that or = (AFD). Exercise 14.3.17. Given that ð = (135), a = (347), and p = (567) are permutations in S7, compute the following: (a) ốo (c) ốp (e) op (b) aổ (d) på (f) po
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
SEE MORE TEXTBOOKS