S = Consider the set 3 10 8 2 3 CR4 11 21 8 27 2 It can easily be seen that S does not form a basis for R4. Find a proper subset of S such that this subset forms a basis for R4. Hint: Delete the columns from the set S that are linear combinations of other vectors in the S.

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Inner Product Spaces
Section5.CM: Cumulative Review
Problem 5CM: Take this test to review the material in Chapters 4 and 5. After you are finished, check your work...
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Consider the set
S =
0
3
1
10
8
11
21
27 2
2
0
3
4
CR4
It can easily be seen that S does not form a basis for R¹. Find a proper
subset of S such that this subset forms a basis for R4. Hint: Delete the
columns from the set S that are linear combinations of other vectors in
the S.
Transcribed Image Text:Consider the set S = 0 3 1 10 8 11 21 27 2 2 0 3 4 CR4 It can easily be seen that S does not form a basis for R¹. Find a proper subset of S such that this subset forms a basis for R4. Hint: Delete the columns from the set S that are linear combinations of other vectors in the S.
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