5. Let T: R2 R be defined by [x1 +2x2 T a. Find the matrix [T]B.B relative to the bases B = {u,, u} and B' = {v,, V2, V3}, where %3D u, = uz = V = V2 V3 = |0 b. Verify that Formula (5) holds for every vector in R2. 22

Elementary Linear Algebra (MindTap Course List)
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Author:Ron Larson
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Chapter7: Eigenvalues And Eigenvectors
Section7.CM: Cumulative Review
Problem 17CM
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y
5. Let T: R2 → R3 be defined by
X+2x2
a. Find the matrix [T]BB relative to the bases B = {u,, u,}
and B' = {v, V2, V3}, where
%3D
u, =
uz =
21
V =
V2 =|2
V3 =
= 10
b. Verify that Formula (5) holds for every vector in R2.
Transcribed Image Text:y 5. Let T: R2 → R3 be defined by X+2x2 a. Find the matrix [T]BB relative to the bases B = {u,, u,} and B' = {v, V2, V3}, where %3D u, = uz = 21 V = V2 =|2 V3 = = 10 b. Verify that Formula (5) holds for every vector in R2.
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