Let T₁ R² R² and T₂: R² R² be linear transformations defined as follows. : -5x1 TV ([²2]) - [52] T₁ 5x1 T₂ ([22₂])=[ X2 -3x1 3x2 T₂) = [' (non) ([²])- (non) ([-²]) = [ Ex: 42 Ex: 42

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Let T₁: R² R² and T₂ : R² → R² be linear transformations defined as follows.
T([2])-[2]
[5x1 + 2x₂
T₁
T₂
X2
([2₂]) = [
-5x1
-3x1
3x2
(1 - 1) ([ -3,²]) = [
5
(1₂ - 12) ( [7²]) = [
(T
5
Ex: 42
Ex: 42
]
Transcribed Image Text:Jump to level 1 Let T₁: R² R² and T₂ : R² → R² be linear transformations defined as follows. T([2])-[2] [5x1 + 2x₂ T₁ T₂ X2 ([2₂]) = [ -5x1 -3x1 3x2 (1 - 1) ([ -3,²]) = [ 5 (1₂ - 12) ( [7²]) = [ (T 5 Ex: 42 Ex: 42 ]
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