Let T: R³ R³ be a linear transformation. Given the following information: 3 -1 2 H (a) Compute T(13u +9v+6w) (or show that it cannot be found from the information). T(u + v +2w) = = 3 T(3u + 2v+w) = " T(5u +3v) = (b) Compute T(10u+7v+6w) (or show that it cannot be found from the information).
Let T: R³ R³ be a linear transformation. Given the following information: 3 -1 2 H (a) Compute T(13u +9v+6w) (or show that it cannot be found from the information). T(u + v +2w) = = 3 T(3u + 2v+w) = " T(5u +3v) = (b) Compute T(10u+7v+6w) (or show that it cannot be found from the information).
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Linear Transformations
Section6.1: Introduction To Linear Transformations
Problem 48E: For the linear transformation T:R2R2 given by A=[abba] find a and b such that T(12,5)=(13,0).
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I am really having a difficult time trying to do this problem, this problem has to be done using the matrix way can you please do this step by step using the matrix way
this is done using the matrix way and can you do it step by step
can you label both problems
![Let T: R³ R³ be a linear transformation. Given the following information:
H
-8
[11]
3
(a) Compute T(13u +9v+6w) (or show that it cannot be found from the information).
T(u + v +2w) =
T(3u + 2v + w)
=
3
T(5u +3v) = 12
(b) Compute T(10u+7v+6w) (or show that it cannot be found from the information).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F460d6b43-992c-4555-b09d-3f6791ba763b%2F1d828854-473e-4cff-ae23-48cbbec63656%2Fuk6fhfa_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Let T: R³ R³ be a linear transformation. Given the following information:
H
-8
[11]
3
(a) Compute T(13u +9v+6w) (or show that it cannot be found from the information).
T(u + v +2w) =
T(3u + 2v + w)
=
3
T(5u +3v) = 12
(b) Compute T(10u+7v+6w) (or show that it cannot be found from the information).
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