-3 Given v = -6 find the coordinates for v in the subspace W spanned by -7 -4 -1 2 3 -2 1 U2 = 1 , Uz = U4 = -1 and ug = 1 -1 16 -2 1 1 1 1 Note that u1, uz2, U3, U4 and ug are orthogonal. v = u1+ u2+ uz+ 8 U4+ U5 LO ||

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Inner Product Spaces
Section5.CR: Review Exercises
Problem 54CR: Let V be an two dimensional subspace of R4 spanned by (0,1,0,1) and (0,2,0,0). Write the vector...
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Chapter 5.2 Question 11

-3
Given v =
-6
find the coordinates for v in the subspace W spanned by
-7
-4
-1
2
3
-2
1
U2 =
1
, Uz =
U4 =
-1
and ug =
1
-1
16
-2
1
1
1
1
Note that u1, uz2, U3, U4 and ug are orthogonal.
v =
u1+
u2+
uz+
8 U4+
U5
LO
||
Transcribed Image Text:-3 Given v = -6 find the coordinates for v in the subspace W spanned by -7 -4 -1 2 3 -2 1 U2 = 1 , Uz = U4 = -1 and ug = 1 -1 16 -2 1 1 1 1 Note that u1, uz2, U3, U4 and ug are orthogonal. v = u1+ u2+ uz+ 8 U4+ U5 LO ||
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