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Elementary Linear Algebra (MindTap Course List)

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter5: Inner Product Spaces

Section5.CM: Cumulative Review

Problem 16CM

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Let S be a subspace of R' defined by
----
= span
and u
ER.
(a) By using the Gram-Schmidt orthonormalization process, find an orthonormal basis
for S (S perp).
(b) Write u = v +w such that v € S and w € St.
(c) Find the coordinate matrix of w with respect to the orthonormal basis obtained in
part a).

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