Let y = - 12 -1 1 -8 2 , and V₂ = -5 1 . Find the distance from y to the subspace W of R4 spanned by v₁ and v₂, given that the closest point to y in W is y= 0 3 The distance is (Simplify your answer. Type an exact answer, using radicals as needed.) (...) -9 5 4 -5
Let y = - 12 -1 1 -8 2 , and V₂ = -5 1 . Find the distance from y to the subspace W of R4 spanned by v₁ and v₂, given that the closest point to y in W is y= 0 3 The distance is (Simplify your answer. Type an exact answer, using radicals as needed.) (...) -9 5 4 -5
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
Let
y=
,
−12 |
−1 |
1 |
−8 |
v1=
,
and
1 |
−1 |
−1 |
2 |
v2=
.
Find the distance from y to the subspace W of
−5 |
1 |
0 |
3 |
ℝ4
spanned by
v1
and
v2,
given that the closest point to y in W is
y=
.
−9 |
5 |
4 |
−5 |
Question content area bottom
Part 1
The distance is
enter your response here.
(Simplify your answer. Type an exact answer, using radicals as needed.)

Transcribed Image Text:Let y =
12
1
1
- 8
1
1
- 1
2
and V₂ =
-5
3
Find the distance from y to the subspace W of R4 spanned by
1
The distance is
(Simplify your answer. Type an exact answer, using radicals as needed.)
...
and
V2,
given that the closest point to y in W is y =
9
5
4
- 5
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