Let T: R³ → Rº be a linear transformation whose standard matrix is 3 3 1 A Enter the vector in the form [C₁, C₂, C3]: -4 1 1 2 3 1 Find a vector v such that T(v) =-6. If there is more than one such vector, just pick one of them and enter it as your answer. -E

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 11CM
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Let T: R³ R³ be a linear transformation whose standard matrix is
3
[
Find a vector v such that T (v)
=
A =
Enter the vector in the form [C₁, C₂, C3]:
3
1
-4
1
2
3 1
G
-6. If there is more than one such vector, just pick one of them and enter it as your answer.
Transcribed Image Text:Let T: R³ R³ be a linear transformation whose standard matrix is 3 [ Find a vector v such that T (v) = A = Enter the vector in the form [C₁, C₂, C3]: 3 1 -4 1 2 3 1 G -6. If there is more than one such vector, just pick one of them and enter it as your answer.
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