Find the closest point to y in the subspace W spanned by v₁ and v₂. y = 5 - 1 1 18 V₁ 1 - 2 - 1 3 V2 - 2 2 0 2 - The closest point to y in W is the vector (Simplify your answer.)

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter5: Orthogonality
Section: Chapter Questions
Problem 2RQ
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Find the closest point to y in the subspace W spanned by v₁ and v₂.
y =
5
- 1
1
18
V₁
1
- 2
- 1
3
V2
- 2
2
0
2
-
The closest point to y in W is the vector
(Simplify your answer.)
Transcribed Image Text:Find the closest point to y in the subspace W spanned by v₁ and v₂. y = 5 - 1 1 18 V₁ 1 - 2 - 1 3 V2 - 2 2 0 2 - The closest point to y in W is the vector (Simplify your answer.)
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