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Let T: R² R² be the linear transformation that first rotates points clockwise through π/6 and then reflects points through the line y = x. Find the standard matrix A for T. (Your answer can be in terms of trigonometric functions and pi.) A = (3)^(1/2)/2 -1/2 1/2 (3)^(1/2)/2

Let T: R² R² be the linear transformation that first rotates points clockwise through π/6 and then reflects points through the line y = x. Find the standard matrix A for T. (Your answer can be in terms of trigonometric functions and pi.) A = (3)^(1/2)/2 -1/2 1/2 (3)^(1/2)/2

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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Let T: R² → R² be the linear transformation that first rotates points clockwise through 7/6 and then reflects points through the line y = x. Find the standard matrix A for T. (Your answer can be in terms of trigonometric functions and pi.) A = (3)^(1/2)/2 -1/2 1/2 (3)^(1/2)/2
Transcribed Image Text:Let T: R² → R² be the linear transformation that first rotates points clockwise through 7/6 and then reflects points through the line y = x. Find the standard matrix A for T. (Your answer can be in terms of trigonometric functions and pi.) A = (3)^(1/2)/2 -1/2 1/2 (3)^(1/2)/2
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