(1, 2, –1) and v = (6,4, 2) in Rº. %3D a) Show that w = (9, 2,7) is a linear combination of u and v b) Show that that w' : (4,–1,8) is not a linear %3D combination of u and v.

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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(1, 2, –1) and v
(6, 4, 2) in R³.
u = =
a) Show that w =
(9,2,7) is a linear combination
of u and v
b) Show that that w' = (4, –1,8) is not a linear
combination of u and v.
Transcribed Image Text:(1, 2, –1) and v (6, 4, 2) in R³. u = = a) Show that w = (9,2,7) is a linear combination of u and v b) Show that that w' = (4, –1,8) is not a linear combination of u and v.
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