5. Let T: R R3 be defined by -> X1 + 2x2 X1 T %3D a. Find the matrix [T]B.B relative to the bases B = {u,,u} and B' = {v,,V2, V3}, where %3D u, = 3 u, = 4 3 V = | 1 V2 =2 V3 0. %3D 0.

Elementary Linear Algebra (MindTap Course List)
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Chapter7: Eigenvalues And Eigenvectors
Section7.CM: Cumulative Review
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5. Let T : R² →
R3 be defined by
X1+ 2x2
a. Find the matrix [T]BB relative to the bases B = {u, u}
and B' = {v,,v,,V3}, where
%3D
%3D
u, =
u, =
V, =
V2 =
V =
0.
b. Verify that Formula (5) holds for every vector in R2.
Transcribed Image Text:5. Let T : R² → R3 be defined by X1+ 2x2 a. Find the matrix [T]BB relative to the bases B = {u, u} and B' = {v,,v,,V3}, where %3D %3D u, = u, = V, = V2 = V = 0. b. Verify that Formula (5) holds for every vector in R2.
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