Let v, = (43 2 1), v2 = (-2 0 -1 0), V3 = (0 3 0 1) a) Find the subspace of R" spanned by these vectors. b) Are the vectors linearly independent? c) Determine a basis for R' that contains as many of the above three vectors as possible.

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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Let v, = (43 2 1), V2 = (-2 0 -1 0), V3 = (0 3 0 1)
a) Find the subspace of R*
b) Are the vectors linearly independent?
c) Determine a basis for R' that contains as many of the above three vectors as possible.
spanned by these vectors.
Transcribed Image Text:Let v, = (43 2 1), V2 = (-2 0 -1 0), V3 = (0 3 0 1) a) Find the subspace of R* b) Are the vectors linearly independent? c) Determine a basis for R' that contains as many of the above three vectors as possible. spanned by these vectors.
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