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11. A linear transformation T: R2 → R² first reflects points through the ₁-axis and then reflects points through the 22-axis. Show that I can also be described as a linear transformation that rotates points about the origin. What is the angle of that rotation?

11. A linear transformation T: R2 → R² first reflects points through the ₁-axis and then reflects points through the 22-axis. Show that I can also be described as a linear transformation that rotates points about the origin. What is the angle of that rotation?

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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11. A linear transformation T: R² → R2 first reflects points through the ₁-axis and then reflects points through the 2-axis. Show that I can also be described as a linear transformation that rotates points about the origin. What is the angle of that rotation?
Transcribed Image Text:11. A linear transformation T: R² → R2 first reflects points through the ₁-axis and then reflects points through the 2-axis. Show that I can also be described as a linear transformation that rotates points about the origin. What is the angle of that rotation?
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