Let T: R² R² be a linear transformation that maps u = formation that maps = [4] Im [2²] into into = 0 Use the fact that T is linear to find the image under T of 4 + 20. [2²] and maps = and maps [3] into [5] into [7¹]. G] [G7]

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
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Chapter7: Eigenvalues And Eigenvectors
Section7.CM: Cumulative Review
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40
Let
T: R² R²
be a linear transformation that maps i =
formation that maps
into
into
and maps =
and maps =
into
[5] into [7¹].
Use the fact that T is linear to find the image under T of 4 + 2ü.
Transcribed Image Text:40 Let T: R² R² be a linear transformation that maps i = formation that maps into into and maps = and maps = into [5] into [7¹]. Use the fact that T is linear to find the image under T of 4 + 2ü.
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