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Problem 6. Let f be the linear transformation in R² which first rotates vectors in R² counterclockwise about the origin by an angle 0, then reflects them through the line x = y. What is the value of the determinant of the corresponding matrix of f?

Problem 6. Let f be the linear transformation in R² which first rotates vectors in R² counterclockwise about the origin by an angle 0, then reflects them through the line x = y. What is the value of the determinant of the corresponding matrix of f?

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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Problem 6. Let f be the linear transformation in R2 which first rotates vectors in R2 counterclockwise about the origin by an angle 0, then reflects them through the line x = y. What is the value of the determinant of the corresponding matrix of f?
Transcribed Image Text:Problem 6. Let f be the linear transformation in R2 which first rotates vectors in R2 counterclockwise about the origin by an angle 0, then reflects them through the line x = y. What is the value of the determinant of the corresponding matrix of f?
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