Let W be the subspace of R$ spanned by the vectors w,=(2, 2, -1, 0, 1), w2=(-1, -1, 2, -3, 1), w3=(1, 1, -2, 0, -1), w,-(0, 0, 1, 1, 1). Find a basis for the orthogonal complement of W.
Let W be the subspace of R$ spanned by the vectors w,=(2, 2, -1, 0, 1), w2=(-1, -1, 2, -3, 1), w3=(1, 1, -2, 0, -1), w,-(0, 0, 1, 1, 1). Find a basis for the orthogonal complement of W.
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 59CR
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![Basis for an Orthogonal Complement
- Let W be the subspace of R$ spanned by the vectors w,=(2, 2,
-1, 0, 1), w,=(-1, -1, 2, -3, 1), w;=(1, 1, -2, 0, -1), w,=(0, 0, 1,
1, 1). Find a basis for the orthogonal complement of W.
2
2 -1 0
1
-1 -1
A =
1
-3
1
1
-2
-1
0 1
1
1](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F65fe81c7-ec3c-4927-bf88-eae872e91fbc%2F2dae2171-23b0-4056-b041-39fbbe5bb218%2F0j7sxkx_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Basis for an Orthogonal Complement
- Let W be the subspace of R$ spanned by the vectors w,=(2, 2,
-1, 0, 1), w,=(-1, -1, 2, -3, 1), w;=(1, 1, -2, 0, -1), w,=(0, 0, 1,
1, 1). Find a basis for the orthogonal complement of W.
2
2 -1 0
1
-1 -1
A =
1
-3
1
1
-2
-1
0 1
1
1
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