Given v = U₁ = 0 V= -8 find the coordinates for v in the subspace W spanned by 1 11 -1 -1 -6 -1 , U2 = 1 u₁+ 3 5 1 4 Note that u₁, 2, uz and us are orthogonal. , Uz = -1 4 -7 u2+ and u4= 0 -3 1 1 U3+ us

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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Matrix algebra qusetion

Given v =
U₁ =
0
V=
-8
find the coordinates for v in the subspace W spanned by
1
11
-1
-1
-6
-1
, U2 =
1
u₁+
3
5
1
4
Note that u₁, 2, uz and us are orthogonal.
, Uz =
-1
4
-7
u2+
and u4=
0
-3
1
1
U3+
us
Transcribed Image Text:Given v = U₁ = 0 V= -8 find the coordinates for v in the subspace W spanned by 1 11 -1 -1 -6 -1 , U2 = 1 u₁+ 3 5 1 4 Note that u₁, 2, uz and us are orthogonal. , Uz = -1 4 -7 u2+ and u4= 0 -3 1 1 U3+ us
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