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If T:R² R³ is a linear transformation and the action of T on the special vectors U and V is as given, find a formula for T(X), where is any vector in R². 2 T(V) = -6 4 U = 2 V = 2x 2y -2x-2y -2 T(U) = 4

If T:R² R³ is a linear transformation and the action of T on the special vectors U and V is as given, find a formula for T(X), where is any vector in R². 2 T(V) = -6 4 U = 2 V = 2x 2y -2x-2y -2 T(U) = 4

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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If T:R² R³ is a linear transformation and the action of T on the special vectors U and V is as given, find a formula for T(X), where is any vector in R². 2 T(V) = -6 4 u= T X y -1 1 2-4 2 -3 = 2x 2y -2x-2y, -2 T(U) = 4 -2
Transcribed Image Text:If T:R² R³ is a linear transformation and the action of T on the special vectors U and V is as given, find a formula for T(X), where is any vector in R². 2 T(V) = -6 4 u= T X y -1 1 2-4 2 -3 = 2x 2y -2x-2y, -2 T(U) = 4 -2
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