37. Let uj = (1, -2, –1), u2 = (2, 2, -2), and v = (0,0, 1). v is not in the subspace Wspanned by u1 and u2. Use this fact to construct a nonzero vector uz in R3 that isorthogonal to u̟ and u2.

Answered: Image /qna-images/answer/f65f87fe-8f79-4f5e-9707-ee4b6f8f8507.jpg

Answered: Let ui = (1, –2, – 1), u2 = (2, 2, -2),…

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 54CR: Let V be an two dimensional subspace of R4 spanned by (0,1,0,1) and (0,2,0,0). Write the vector...

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Find an orthonormal basis for the subspace of Euclidean 3 space below. W={(x1,x2,x3):x1+x2+x3=0}
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Let ui = (1, –2, – 1), u2 = (2, 2, -2), and v = (0,0, 1). v is not in the subspace W spanned by u, and u2. Use this fact to construct a nonzero vector uz3 in R3 that is orthogonal to u̟ and u2.