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

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.4: Linear Transformations
Problem 12EQ
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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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