2. Let v, = (1,2,1), v2 = (2,9,0), v3 = (3,3,4). Show first that S = {v1, v2, v3}{V1, V2,is a basis for R³. Also, let T: R³ → R² be the linear map for whichT(v1) = (1,0),T(v2) = (-1,1),T(v3) = (0,1). Then find T(7,13,7).

Answered: Image /qna-images/answer/54f9f401-c9f0-4f17-aff0-2a25819e6af8.jpg

2. Let vi (1,2,1), v2 = (2,9,0), v3 = (3,3,4). Show first that S {V1, V2, V3} %3D is a basis for R³. Also, let T: R³ → R2 be the linear map for which T(v1) = (1,0), T(v2) = (-1,1), T(v3) = (0,1). Then find T(7,13,7). ||

2. Let vi (1,2,1), v2 = (2,9,0), v3 = (3,3,4). Show first that S {V1, V2, V3} %3D is a basis for R³. Also, let T: R³ → R2 be the linear map for which T(v1) = (1,0), T(v2) = (-1,1), T(v3) = (0,1). Then find T(7,13,7). ||

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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2. Let v, = (1,2,1), v2 = (2,9,0), v3 = (3,3,4). Show first that S = {v1, v2, v3}
{V1, V2,
is a basis for R³. Also, let T: R³ → R² be the linear map for which
T(v1) = (1,0),T(v2) = (-1,1),T(v3) = (0,1). Then find T(7,13,7).

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