3. Let x = Let W be the subspace of R5 that is spanned by the vectors V1 -9 be a vector in R5. 1 = V2 = 0 2 and v3 = (a) Find a vector in the subspace of W that is closest to x. (b) Find the distance d of the vector x from the subspace W.

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter4: Vector Spaces
Section4.3: Subspaces Of Vector Spaces
Problem 56E: Give an example showing that the union of two subspaces of a vector space V is not necessarily a...
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Hello, can you please help me with this problem because I really need help with it I am struggling, this problem has to be done using the matrix format and can you label the parts.

this problem has to be done using the matrix format can you please label the parts so I can follow along and can you please do this step by step without missing any steps 

3.
Let x =
Let W be the subspace of R5 that is spanned by the vectors
V1
-9 be a vector in R5.
0
, V2
=
1
9
and v3 =
(a) Find a vector in the subspace of W that is closest to x.
(b) Find the distance d of the vector x from the subspace W.
Transcribed Image Text:3. Let x = Let W be the subspace of R5 that is spanned by the vectors V1 -9 be a vector in R5. 0 , V2 = 1 9 and v3 = (a) Find a vector in the subspace of W that is closest to x. (b) Find the distance d of the vector x from the subspace W.
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