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Use the Gram–Schmidt process to find an orthonormal basis for the subspace of R4 spanned by x1 = (4, 2, 2, 1)T , x2 = (2, 0, 0, 2)T , x3 = (1, 1, −1, 1)T .

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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Use the Gram–Schmidt process to find an orthonormal basis for the subspace of R4 spanned
by x1 = (4, 2, 2, 1)T , x2 = (2, 0, 0, 2)T , x3 =
(1, 1, −1, 1)T .

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