1. Which of the following functions are linear transformatlons? L: R2 R3 defined by L([u₁ u₂]) = [u₁ +1 u₂ U₁+U₂] L: R3 R3 defined by L([u₁ u2 us]) = [u₁ u²+u² u²]
1. Which of the following functions are linear transformatlons? L: R2 R3 defined by L([u₁ u₂]) = [u₁ +1 u₂ U₁+U₂] L: R3 R3 defined by L([u₁ u2 us]) = [u₁ u²+u² u²]
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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I need help in this question of Linear Transformations
![1. Which of the following functions are linear transformatlons?
& L: R₂
R3 defined by
L([u₁ u₂]) = [u₁ +1 u₂ U₁+U₂]
LR3 R3 defined by
L([u₁ u2 us]) = [u₁ u²+u² u²]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0cfa59ce-5074-4e94-af68-42c59c01b835%2F38533353-b485-4c15-8233-cf9f418e8c52%2Fffq27mn_processed.jpeg&w=3840&q=75)
Transcribed Image Text:1. Which of the following functions are linear transformatlons?
& L: R₂
R3 defined by
L([u₁ u₂]) = [u₁ +1 u₂ U₁+U₂]
LR3 R3 defined by
L([u₁ u2 us]) = [u₁ u²+u² u²]
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