Let T be a linear transformation from R² to R³ and suppose that (Q)-[]). T ¹ ([³]) - the vector [-2.] 5 3 and T as a linear combination of vectors [3] and [A] Show your
Let T be a linear transformation from R² to R³ and suppose that (Q)-[]). T ¹ ([³]) - the vector [-2.] 5 3 and T as a linear combination of vectors [3] and [A] Show your
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 30E
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Question
![oints) Let T be a linear transformation from R² to R³ and suppose that
5
TO-]₁ - TC-H
`([3]).
([^])
3
and
Express the vector
work.
[24]
as a linear combination of vectors
[13]
and
[5]
Show your
¹ ([-²4]).
Use the properties of linear transformations and your answer to part (a) to find T](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd4f4b624-9180-41b5-94fa-c093ec7455d7%2F9daffed7-79cb-4662-a267-a5221235c1a1%2F5kg1e2t_processed.png&w=3840&q=75)
Transcribed Image Text:oints) Let T be a linear transformation from R² to R³ and suppose that
5
TO-]₁ - TC-H
`([3]).
([^])
3
and
Express the vector
work.
[24]
as a linear combination of vectors
[13]
and
[5]
Show your
¹ ([-²4]).
Use the properties of linear transformations and your answer to part (a) to find T
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