Determine whether the following set of vectors in IR³: a. spans IR³ b. Is linearly independent. c. Is a basis for R³ S = {(1,2,3), (0,1,0), (-1,0, -1)}

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter4: Vector Spaces
Section4.4: Spanning Sets And Linear Independence
Problem 74E: Let u, v, and w be any three vectors from a vector space V. Determine whether the set of vectors...
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Determine whether the following set of vectors in IR³:
a. spans R³
b. Is linearly independent.
c. Is a basis for R³
S = {(1,2,3), (0,1,0), (-1,0, -1)}
Transcribed Image Text:Determine whether the following set of vectors in IR³: a. spans R³ b. Is linearly independent. c. Is a basis for R³ S = {(1,2,3), (0,1,0), (-1,0, -1)}
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