Let W be a subspace spanned by the u's, and write y as the sum of a vector in W and a vector orthogonal to W. 1 4 CHHI ,4₂ = 2 -3 y= -1 = 1 y= (Type an integer or simplified fraction for each matrix element.)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Linear Algebra

Let W be a subspace spanned by the
u's​,
and write
y
as the sum of a vector in W and a vector orthogonal to W.
 
y=
  6  
3
3
−1
​,
u1=
  1  
1
0
1
​,
u2=
  −1  
4
2
−3
​,
u3=
  −1  
0
1
1
 
 
 

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Part 1
y=enter your response here
​(Type an integer or simplified fraction for each matrix​ element.)
Let W be a subspace spanned by the u's, and write y as the sum of a vector in W and a vector orthogonal to W.
6
1
3
=
00
U₂ =
3
0
1
- 3
y =
-1
- 1
4
2
u3
- 1
1
(Type an integer or simplified fraction for each matrix element.)
Transcribed Image Text:Let W be a subspace spanned by the u's, and write y as the sum of a vector in W and a vector orthogonal to W. 6 1 3 = 00 U₂ = 3 0 1 - 3 y = -1 - 1 4 2 u3 - 1 1 (Type an integer or simplified fraction for each matrix element.)
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