Do both parts Question 3: Let Uspan S be a subspace of R where S = {(0, -1, 1), (0,0,-1)}.Va. Use the Gram-Schmidt algorithm to convert B into an orthogonal basis for U.b. Let v = (1,0,0). Find the vector in U closest to v. Support your answer.t1= h= (0,-

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Answered: Question 3: Let U = span S be a…

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter5: Inner Product Spaces

Section5.CR: Review Exercises

Problem 42CR: Repeat Exercise 41 for B={(1,2,2),(1,0,0)} and x=(3,4,4). Let B={(0,2,2),(1,0,2)} be a basis for a...

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Find a basis for R2 that includes the vector (2,2).
Let B={(0,2,2),(1,0,2)} be a basis for a subspace of R3, and consider x=(1,4,2), a vector in the subspace. a Write x as a linear combination of the vectors in B.That is, find the coordinates of x relative to B. b Apply the Gram-Schmidt orthonormalization process to transform B into an orthonormal set B. c Write x as a linear combination of the vectors in B.That is, find the coordinates of x relative to B.
Find a basis for the vector space of all 33 diagonal matrices. What is the dimension of this vector space?
Repeat Exercise 41 for B={(1,2,2),(1,0,0)} and x=(3,4,4). Let B={(0,2,2),(1,0,2)} be a basis for a subspace of R3, and consider x=(1,4,2), a vector in the subspace. a Write x as a linear combination of the vectors in B.That is, find the coordinates of x relative to B. b Apply the Gram-Schmidt orthonormalization process to transform B into an orthonormal set B. c Write x as a linear combination of the vectors in B.That is, find the coordinates of x relative to B.

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Question 3: Let U = span S be a subspace of R where S = {(0,-1, 1). (0,0,-1)}. %3D Va. Use the Gram-Schmidt algorithm to convert B into an orthogonal basis for U. -b. Let v = (1,0, 0). Find the vector in U closest to v. Support your answer. t1= h= (0