Find the standard matrix of the linear transformation T: R² R2, where T first performs a |- 37 vertical stretch by a factor of 2 and then rotates points through 4 O [3 -√2-√2/2 √2-√2/2 None of the choices is correct. -√/2 √2/2 -√2-√2/2 -√2/2 -√2 √2/2 -√2 [ -√2/2 √2 -√2/2 -√2

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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Find the standard matrix of the linear transformation T: R2 → R2, where T first performs a
3T
vertical stretch by a factor of 2 and then rotates points through
4
°[
-√2 -√2/2
√2-√√2/2
O None of the choices is correct.
O-√2 √2/2
-√2-√2/2
°[
-√2/2 -√2
√2/2 -√2
O[-√2/2 √2
-√2/2 -√2
Transcribed Image Text:Find the standard matrix of the linear transformation T: R2 → R2, where T first performs a 3T vertical stretch by a factor of 2 and then rotates points through 4 °[ -√2 -√2/2 √2-√√2/2 O None of the choices is correct. O-√2 √2/2 -√2-√2/2 °[ -√2/2 -√2 √2/2 -√2 O[-√2/2 √2 -√2/2 -√2
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