Please answer the question in the attached file. The more steps the better as I'm not confident what I've done so far. Let v be the vector v =1Let W be the subspace of R3 given by all vectorsperpendicular to v.Find a basis for W (hint: W is the nullspace of the 1 x 3 matrix [1 1 1]).

Answered: Image /qna-images/answer/18f9e150-ba26-4b1c-9951-346fa8136451.jpg

Answered: Let v be the vector v = Let W be the…

Let v be the vector v = Let W be the subspace of R³ given by all vectors perpendicular to v. Find a basis for W (hint: W is the nullspace of the 1 x 3 matrir [1 1 1]).

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter6: Linear Transformations

Section6.3: Matrices For Linear Transformations

Problem 52E: Let T be a linear transformation T such that T(v)=kv for v in Rn. Find the standard matrix for T.

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Question

Please answer the question in the attached file. The more steps the better as I'm not confident what I've done so far.

Let v be the vector v =
1
Let W be the subspace of R3 given by all vectors
perpendicular to v.
Find a basis for W (hint: W is the nullspace of the 1 x 3 matrix [1 1 1]).

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