B = (v1, v2 , v3) is a basis of a vector space V andT : V → V is a linear transformation which satisfies T(v1) = v1 + v2 + 2v3,T(v2) = 2vi + v2 + 3v3,T(v3) = v1 + 2v2 + 4v3. If u = 4v1 – v2 – v3 and T(u) = c1v1 + c2v2 + C3V3 then what is the value of c1 + c2 + c3? %3D - - O 4 O 2 O 5 3.
B = (v1, v2 , v3) is a basis of a vector space V andT : V → V is a linear transformation which satisfies T(v1) = v1 + v2 + 2v3,T(v2) = 2vi + v2 + 3v3,T(v3) = v1 + 2v2 + 4v3. If u = 4v1 – v2 – v3 and T(u) = c1v1 + c2v2 + C3V3 then what is the value of c1 + c2 + c3? %3D - - O 4 O 2 O 5 3.
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 25CM: Find a basis B for R3 such that the matrix for the linear transformation T:R3R3,...
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