Given v = U₁ = 0 -1 -8 v = 1361/187 -1 find the coordinates for v in the subspace W spanned by 1 1 11 11 3 5 1 4 Note that u₁, 2, u3 and 4 are orthogonal. -6 -1 " , U₂ = , Uz = u₁+ 11/187 -1 4 -7 and u4= u2+ -188/187 0 -3 B 1 1 u3+ 8/11 Ա4

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Need help with matrix algrbra this it what I got but it's incorrect.

Given v =
U₁ =
0
-1
-8
v = 1361/187
-1
find the coordinates for v in the subspace W spanned by
1
1
11
11
3
5
1
4
Note that u₁, 2, u3 and 4 are orthogonal.
-6
-1
"
, U₂ =
, Uz =
u₁+ 11/187
-1
4
-7
and u4=
u2+ -188/187
0
-3
B
1
1
u3+ 8/11
Ա4
Transcribed Image Text:Given v = U₁ = 0 -1 -8 v = 1361/187 -1 find the coordinates for v in the subspace W spanned by 1 1 11 11 3 5 1 4 Note that u₁, 2, u3 and 4 are orthogonal. -6 -1 " , U₂ = , Uz = u₁+ 11/187 -1 4 -7 and u4= u2+ -188/187 0 -3 B 1 1 u3+ 8/11 Ա4
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