3 -2 7. Let u , and y . Let W = Span{, . -1 2 3 13 (a) Verify that {u,, ư2} is an orthogonal set. Write y as the sum of a ctor in W with vector in WI. (c) Find the distance from y to W.

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 24CM
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Question
1
3
-2
7. Let ui
and y
Let W =
Span{u1, ư2}.
-1
13
(a)
Verify that {u1, ữ2} is an orthogonal set.
(b)
Write y as the sum of a vector in W with a vector in W.
Find the distance from y to W.
Transcribed Image Text:1 3 -2 7. Let ui and y Let W = Span{u1, ư2}. -1 13 (a) Verify that {u1, ữ2} is an orthogonal set. (b) Write y as the sum of a vector in W with a vector in W. Find the distance from y to W.
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