B = (v1, v2, v3) is a basis of the vector space V and T: V → V is a linear transformation which satisfies T(v1) = v1 + v2 + 2v3,T(v2) = 2v1 + v2 + 3v3, T(v3) = v1 + 2v2 + 3v3. If v = vị – v2 + 2v3 then T(v) : O 5v1 + 6v2 + 11v3 6v1 + 6v2 + 9v3 V1 – v2 + 2v3 O 4v1 + 7v2 + 5v3 vi + 4v2 + 5v3

B = (v1, v2, v3) is a basis of the vector space V and T: V → V is a linear transformation which satisfies T(v1) = v1 + v2 + 2v3,T(v2) = 2v1 + v2 + 3v3, T(v3) = v1 + 2v2 + 3v3. If v = vị – v2 + 2v3 then T(v) : O 5v1 + 6v2 + 11v3 6v1 + 6v2 + 9v3 V1 – v2 + 2v3 O 4v1 + 7v2 + 5v3 vi + 4v2 + 5v3

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

B = (v1, v2, v3) is a basis of the vector space V and T: V → V is a linear transformation which
satisfies T(v1) = v1 + v2 + 2v3,T(v2) = 2v1 + v2 + 3v3, T(v3) = v1 + 2v2 + 3v3.
If v = vị – v2 + 2v3 then T(v) :
O 5v1 + 6v2 + 11v3
6v1 + 6v2 + 9v3
V1 – v2 + 2v3
O 4v1 + 7v2 + 5v3
vi + 4v2 + 5v3

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