17. Let T R2 → R² be a linear transformation that maps 5 2 into and maps v = into 3 2 3 Tis linear to find the images under T of 3u, 2v, and 3u + 2v. u= . Use the fact that

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 3CM: Let T:RnRm be the linear transformation defined by T(v)=Av, where A=[30100302]. Find the dimensions...
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17. Let T R² → R² be a linear transformation that maps
5
2
into
and maps v =
2
3
3
Tis linear to find the images under T of 3u, 2v, and 3u + 2v.
u=
into
. Use the fact that
Transcribed Image Text:17. Let T R² → R² be a linear transformation that maps 5 2 into and maps v = 2 3 3 Tis linear to find the images under T of 3u, 2v, and 3u + 2v. u= into . Use the fact that
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