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Let -9 D 1.7₁ and Y2 -3 -12] and let T: R² R² be a linear transformation that maps ₁ to ₁ and maps 2 to 2. a. Find the image of ([₁]) T e₁ = T([1]) = b. Find the image of = 5 [₂]. x2 e₂ = -31

Let -9 D 1.7₁ and Y2 -3 -12] and let T: R² R² be a linear transformation that maps ₁ to ₁ and maps 2 to 2. a. Find the image of ([₁]) T e₁ = T([1]) = b. Find the image of = 5 [₂]. x2 e₂ = -31

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 -9 and 72 = -12] and let T: R² R2 be a linear transformation that maps ₁ to ₁ and maps e2 to 2. a. Find the image of T([3]) e₁ = T([22]) = b. Find the image of H [1] = 7₁ =
Transcribed Image Text:Let -9 and 72 = -12] and let T: R² R2 be a linear transformation that maps ₁ to ₁ and maps e2 to 2. a. Find the image of T([3]) e₁ = T([22]) = b. Find the image of H [1] = 7₁ =
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