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Let T: R² → R² be defined by T x1 = x1 x2 Let u = [2] and C = V1 = , V₂ = [A]} x1 Find T(u), the image of u under T. Find [T(u)] c, the coordinatization of T(u) with respect to the basis C. Ex: 5 T(u) - [T(u)]c = ||

Let T: R² → R² be defined by T x1 = x1 x2 Let u = [2] and C = V1 = , V₂ = [A]} x1 Find T(u), the image of u under T. Find [T(u)] c, the coordinatization of T(u) with respect to the basis C. Ex: 5 T(u) - [T(u)]c = ||

Elementary Linear Algebra (MindTap Course List)
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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Let T: R² → R² be defined by T x1 = x1 x2 Let u = [2] and C = V1 = , V₂ = [A]} x1 Find T(u), the image of u under T. Find [T(u)] c, the coordinatization of T(u) with respect to the basis C. Ex: 5 T(u) - [T(u)]c = ||
Transcribed Image Text:Let T: R² → R² be defined by T x1 = x1 x2 Let u = [2] and C = V1 = , V₂ = [A]} x1 Find T(u), the image of u under T. Find [T(u)] c, the coordinatization of T(u) with respect to the basis C. Ex: 5 T(u) - [T(u)]c = ||
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