d the closest point to y in the subspace W spanned by V₁ and V₂ 2 0-8-0 2 2 5 Da Ob Oc Od -4/5 2/5 -1/5 1/5 b. -2 3 -4/5 2/5 -1/5 2/5 C. -4/5 3/5 -1/5 2/5 d. -4/5 -2/5 1/5 2/5

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter3: Matrices
Section3.5: Subspaces, Basis, Dimension, And Rank
Problem 10EQ
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Question
Find the closest point to y in the subspace W spanned by v. and V₂
y=
a.
NOT
2
5
a
Ob
Oc
1
CALCIATI
1
Od
V₁=
-4/5
2/5
-1/5
L1/5
2
1
2
1
V₂ =
V2
-2
1
1
3
-4/5
2/5
-1/5
2/5
G
-4/5
3/5
-1/5
2/5
-4/5
-2/5
1/5
2/5
Transcribed Image Text:Find the closest point to y in the subspace W spanned by v. and V₂ y= a. NOT 2 5 a Ob Oc 1 CALCIATI 1 Od V₁= -4/5 2/5 -1/5 L1/5 2 1 2 1 V₂ = V2 -2 1 1 3 -4/5 2/5 -1/5 2/5 G -4/5 3/5 -1/5 2/5 -4/5 -2/5 1/5 2/5
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