Describe the following linear maps T : R² → R² geometrically. In all cases we X write T ()). U (a) T (₂) - (2) (b) rather than T( (e)T()-(-4): = T() - ()
Describe the following linear maps T : R² → R² geometrically. In all cases we X write T ()). U (a) T (₂) - (2) (b) rather than T( (e)T()-(-4): = T() - ()
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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[EX3 Q1] A matrix transformation question :)
Transcribed Image Text:1. Describe the following linear maps T : R² → R2 geometrically. In all cases we
X
write T
y
(a) T(") = (-2)
(b)
(c) T
(d)
X
rather than T(
than 7((*
(;') = (-₁,);
T()-():
= (201
T (1)
x/√2+y/√2
1/√₂
-x/√2+y/√2/
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