See Picture.Please take your time and double check answer as last guy was wrong! ----Let u, = 2u2 =and uz = 0Note that u, and u, are orthogonal but that uz is not orthogonal to u, or uz. It can be shown that uz is not1in the subspace W spanned by u, and u,. Use this fact to construct a nonzero vector v in R' that is orthogonal to u, and u,.A nonzero vector in R3 that is orthogonal to u, and u, is v =

The orthogonal vector is given as follows :

Let u, = 2 |, u2 and uz = 0 Note that u, and uz are orthogonal but that uz is not orthogonal to u, or uz. It can be shown that uz is not in the subspace W spanned by u, and u,. Use this fact to construct a nonzero vector v in R' that is orthogonal to u, and u,.

Let u, = 2 |, u2 and uz = 0 Note that u, and uz are orthogonal but that uz is not orthogonal to u, or uz. It can be shown that uz is not in the subspace W spanned by u, and u,. Use this fact to construct a nonzero vector v in R' that is orthogonal to u, and u,.

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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See Picture.

Please take your time and double check answer as last guy was wrong!

----
Let u, = 2
u2 =
and uz = 0
Note that u, and u, are orthogonal but that uz is not orthogonal to u, or uz. It can be shown that uz is not
1
in the subspace W spanned by u, and u,. Use this fact to construct a nonzero vector v in R' that is orthogonal to u, and u,.
A nonzero vector in R3 that is orthogonal to u, and u, is v =

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