Given v = U₁ = 0 find the coordinates for v in the subspace W spanned by 1 [3] 0 -1 V = -9 3.33 -3 7 3 5 1 4 Note that u₁, 2, 3 and 4 are orthogonal. 1 , U₂ = , uz = U1 + -0.275 11 [3] -1 4 -7 and u4= u2+ -0.776 [3] -3 1 1 u3+ 2.818 us

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.4: The Dot Product
Problem 19E
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Given v =
U1 =
0
find the coordinates for v in the subspace W spanned by
1
11
0
-1
v = 3.33
-9
-3
7
, U2 =
1
3
5
, Uz =
1
4
Note that u₁, U2, u3 and 4 are orthogonal.
U₁+ -0.275
-1
4
-7
and u4=
u₂+ -0.776
0
-3
B
1
1
U3+ 2.818
Ա4
Transcribed Image Text:Given v = U1 = 0 find the coordinates for v in the subspace W spanned by 1 11 0 -1 v = 3.33 -9 -3 7 , U2 = 1 3 5 , Uz = 1 4 Note that u₁, U2, u3 and 4 are orthogonal. U₁+ -0.275 -1 4 -7 and u4= u₂+ -0.776 0 -3 B 1 1 U3+ 2.818 Ա4
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