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Example : Define a linear transformation T:R² → R² by T(2) = [: [ X1 - 2 | 1 X2 X1 Find the images under T of u =v=3 [i]. 4 1 and u + v = 4 X2 T(u + v) T T(u) u +v T(v) +x1

Example : Define a linear transformation T:R² → R² by T(2) = [: [ X1 - 2 | 1 X2 X1 Find the images under T of u =v=3 [i]. 4 1 and u + v = 4 X2 T(u + v) T T(u) u +v T(v) +x1

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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Define a Linear Transformation 

Example : Define a linear transformation T:R² → R² by | T(> X2 Find the images under T of u =v=3 [i]. 4 1 and u + v = 4 X2 T(u + v) T T(u) u +v T(v) +x1
Transcribed Image Text:Example : Define a linear transformation T:R² → R² by | T(> X2 Find the images under T of u =v=3 [i]. 4 1 and u + v = 4 X2 T(u + v) T T(u) u +v T(v) +x1
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