T₁ T2 X1 X2 ([₁₂]) = [ X2 4x1 - 5x1 + 2x2 - 2x1 -4x2 (T₁-T₂) ([^^]); O 2 Ex: 42 <>

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter7: Eigenvalues And Eigenvectors
Section7.CM: Cumulative Review
Problem 15CM
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Let T₁ R² R2 and T₂: R² R2 be linear transformations defined as follows.
:
T₁
T₂
x1
X1
(T₁ T₂)
Check
(T₂ - T₁)
4x1
-5x1 + 2x2
Next
-2x1
-4x2]
([2])
([₂]) =
2
=
Ex: 42
Ex: 42
3
5
Transcribed Image Text:Jump to level 1 Let T₁ R² R2 and T₂: R² R2 be linear transformations defined as follows. : T₁ T₂ x1 X1 (T₁ T₂) Check (T₂ - T₁) 4x1 -5x1 + 2x2 Next -2x1 -4x2] ([2]) ([₂]) = 2 = Ex: 42 Ex: 42 3 5
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