3. Find a subset of vectors vị = (1,2,2, – 1), v2 = (1,3,1,1), v3 = (1,5, –1,5), V4 = (1,1,4,–1) and v5 = (2,7,0,2) that forms a basis for the space spanned by the vectors. Then express each vector that is not in the basis as a linear combination of the basis vectors.
3. Find a subset of vectors vị = (1,2,2, – 1), v2 = (1,3,1,1), v3 = (1,5, –1,5), V4 = (1,1,4,–1) and v5 = (2,7,0,2) that forms a basis for the space spanned by the vectors. Then express each vector that is not in the basis as a linear combination of the basis vectors.
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 12CM
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![3. Find a subset of vectors vị = (1,2,2, – 1), v2 = (1,3,1,1), v3 = (1,5, –1,5),
v4 = (1,1,4, –1) and v5 = (2,7,0,2) that forms a basis for the space spanned by the vectors.
Then express each vector that is not in the basis as a linear combination of the basis vectors.
[5]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F80665194-e0cf-4f92-95b8-c62d2903b739%2F2a21a1a7-5b2c-464c-a744-994411aa64a4%2Flc7xf1e_processed.png&w=3840&q=75)
Transcribed Image Text:3. Find a subset of vectors vị = (1,2,2, – 1), v2 = (1,3,1,1), v3 = (1,5, –1,5),
v4 = (1,1,4, –1) and v5 = (2,7,0,2) that forms a basis for the space spanned by the vectors.
Then express each vector that is not in the basis as a linear combination of the basis vectors.
[5]
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