-7 7 Given v = 7 -10 find the coordinates for v in the subspace W spanned by -7 -4 -1 2 3 -2 U1 1 Uz 1 Uz = 5 U4 = -1 and u5 1 -1 16 -2 1 1 1 1 Note that u1, U2, U3, U4 and ug are orthogonal. v = Uz+|| Uz+ U4+ U5

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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Question
-7
7
Given v =
6
7
-10
find the coordinates for v in the subspace W spanned by
1
-7
-1
3
-2
1
U2
1
Uz =
5
U4 =
-1
and u5
1
16
-2
1
1
5
1
1
Note that u1, U2, Uz, U4 and ug are orthogonal.
Uz+ |
Uz+
U5
Transcribed Image Text:-7 7 Given v = 6 7 -10 find the coordinates for v in the subspace W spanned by 1 -7 -1 3 -2 1 U2 1 Uz = 5 U4 = -1 and u5 1 16 -2 1 1 5 1 1 Note that u1, U2, Uz, U4 and ug are orthogonal. Uz+ | Uz+ U5
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