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Let A, B be transformations (for example, let A correspond to the reflection of a point across the x-axis, and B the rotation of a point counterclockwise around the origin). Explain why the inverse of AB is NOT A¹B-1. Your answer must refer to interpreting A, B as transformations. (This part will be graded after the due date) (AB)-1 = B-¹A-1 A-¹B-1 1 AB Prove your result. (This part will be graded after the due date)

Let A, B be transformations (for example, let A correspond to the reflection of a point across the x-axis, and B the rotation of a point counterclockwise around the origin). Explain why the inverse of AB is NOT A¹B-1. Your answer must refer to interpreting A, B as transformations. (This part will be graded after the due date) (AB)-1 = B-¹A-1 A-¹B-1 1 AB Prove your result. (This part will be graded after the due date)

Algebra and Trigonometry (6th Edition)
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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Let A, B be transformations (for example, let A correspond to the reflection of a point across the x-axis, and B the rotation of a point counterclockwise around the origin). Explain why the inverse of AB is NOT A¹B-1. Your answer must refer to interpreting A, B as transformations. (This part will be graded after the due date)
Transcribed Image Text:Let A, B be transformations (for example, let A correspond to the reflection of a point across the x-axis, and B the rotation of a point counterclockwise around the origin). Explain why the inverse of AB is NOT A¹B-1. Your answer must refer to interpreting A, B as transformations. (This part will be graded after the due date)
(AB)-1 = B-¹A-1 A-¹B-1 1 AB Prove your result. (This part will be graded after the due date)
Transcribed Image Text:(AB)-1 = B-¹A-1 A-¹B-1 1 AB Prove your result. (This part will be graded after the due date)
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