Consider the vectör X1 = X2 = 4. in R3, and let W be the subspace Span{x1, X2}. (a) Find an orthogonal basis for W. 3 Find the orthogonal projection of y = (b) onto W. 10

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Inner Product Spaces
Section5.2: Inner Product Spaces
Problem 101E: Consider the vectors u=(6,2,4) and v=(1,2,0) from Example 10. Without using Theorem 5.9, show that...
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Consider the vectors
X2 =
X1 =
1
in R3, and let W be the subspace Span{x1, X2}.
(a)
Find an orthogonal basis for W.
[3
Find the orthogonal projection of y =
10
(b)
1
onto W.
(c)
Find the distance from y to (the closest point in) W.
Transcribed Image Text:Consider the vectors X2 = X1 = 1 in R3, and let W be the subspace Span{x1, X2}. (a) Find an orthogonal basis for W. [3 Find the orthogonal projection of y = 10 (b) 1 onto W. (c) Find the distance from y to (the closest point in) W.
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