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
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
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section: Chapter Questions
Problem 13RQ
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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
]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F974a6490-992c-41a2-b80f-51ad98fb1a32%2F2b0f06d6-ed24-4e2e-b4f3-b645d9bf51c5%2F99omm3e_processed.png&w=3840&q=75)
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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