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Let T: R² R² be a linear transformation that maps u = The image of 3u is 2 -1 [3] [] [:] [:)] into and maps v = into 3 Use the fact that T is linear to find the images under T of 3u, 4v, and 3u +4v.

Let T: R² R² be a linear transformation that maps u = The image of 3u is 2 -1 [3] [] [:] [:)] into and maps v = into 3 Use the fact that T is linear to find the images under T of 3u, 4v, and 3u +4v.

Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Linear Transformations
Section6.CR: Review Exercises
Problem 21CR: Let T be a linear transformation from R2 into R2 such that T(4,2)=(2,2) and T(3,3)=(3,3). Find...
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Let T: R² →R² be a linear transformation that maps u = ·[³][:]~~-~~-~-:-(¯;}]} and maps v= The image of 3u is 2 5 into 6 1 3 3 into 1 3 Use the fact that T is linear to find the images under T of 3u, 4v, and 3u + 4v.
Transcribed Image Text:Let T: R² →R² be a linear transformation that maps u = ·[³][:]~~-~~-~-:-(¯;}]} and maps v= The image of 3u is 2 5 into 6 1 3 3 into 1 3 Use the fact that T is linear to find the images under T of 3u, 4v, and 3u + 4v.
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