determine whether the members of the given set of vectors are linearly independent. If they are linearly dependent, find a linear relation among them. In Problems 6 to 9, 11, and 12, vectors are written as row vectors to save space but may be considered as column vectors; that is, the transposes of the given vectors may be used instead of the vectors themselves.6. x(1)=(1,1,0),x(2)=(0,1,1),x(3)=(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 57E: For which values of t is each set linearly independent? a S={(t,1,1),(1,t,1),(1,1,t)} b...
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 determine whether the members of the given set of vectors are linearly independent. If they are linearly dependent, find a linear relation among them. In Problems 6 to 9, 11, and 12, vectors are written as row vectors to save space but may be considered as column vectors; that is, the transposes of the given vectors may be used instead of the vectors themselves.6. x(1)=(1,1,0),x(2)=(0,1,1),x(3)=(1,0,1)

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