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a) b) T: R² → R³, T: R¹ → R². [1] X2 X1 X2 T T x1 + 2x₂ X1 −X2 + 7x₁_ x4 + 2x1

a) b) T: R² → R³, T: R¹ → R². [1] X2 X1 X2 T T x1 + 2x₂ X1 −X2 + 7x₁_ x4 + 2x1

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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Decide if the following are linear transformations. If yes, write the answer in standard matrix form

a) b) T : R² → R³, T : Rª → R², x₁ [21] X1 T X2 T x4 + 2x₁ NAA H X3 X3 3x₁ + 1 X4 x1 + 2x₂ X1 -x₂ + 7x₁ 2 T : R² → R², [+] [B] X2 ₁]
Transcribed Image Text:a) b) T : R² → R³, T : Rª → R², x₁ [21] X1 T X2 T x4 + 2x₁ NAA H X3 X3 3x₁ + 1 X4 x1 + 2x₂ X1 -x₂ + 7x₁ 2 T : R² → R², [+] [B] X2 ₁]
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