5. Determine if each set is linearly independent. If the set is linearly dependent, give an example of how the third vector can be written as a linear combination of the other vectors. Then give an example of how the second vector can be written as a linear combination of the other vectors. (a) {@·4·0} (b)

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter4: Vector Spaces
Section4.CR: Review Exercises
Problem 78CR: Let v1, v2, and v3 be three linearly independent vectors in a vector space V. Is the set...
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5. Determine if each set is linearly independent. If the set is linearly dependent, give an
example of how the third vector can be written as a linear combination of the other
vectors. Then give an example of how the second vector can be written as a linear
combination of the other vectors.
(a)
{@·4·0}
(b)
Transcribed Image Text:5. Determine if each set is linearly independent. If the set is linearly dependent, give an example of how the third vector can be written as a linear combination of the other vectors. Then give an example of how the second vector can be written as a linear combination of the other vectors. (a) {@·4·0} (b)
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