4)Find a basis for the subspace of R* spanned by S.S = {(2,5,-3, -2), (-2, -3, 2, -5)(1,3,-2, 2)(-1,-5,3,5)}.

The given set S is: S=2,5,-3,-2,-2,-3,2,-5,1,3,-2,2,-1,-5,3,5. We need to find a basis for the…

Answered: Find a basis for the subspace of R4…

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 47CR: Find an orthonormal basis for the subspace of Euclidean 3 space below. W={(x1,x2,x3):x1+x2+x3=0}

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Similar questions

Find an orthonormal basis for the subspace of Euclidean 3 space below. W={(x1,x2,x3):x1+x2+x3=0}
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?
Take this test to review the material in Chapters 4 and 5. After you are finished, check your work against the answers in the back of the book. Prove that the set of all singular 33 matrices is not a vector space.
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Find a basis for the subspace of R4 spanned by S. S = {(2, 5, -3, -2), (-2, -3, 2, -5)(1, 3, -2, 2)( -1, -5, 3, 5)}.