Determine whether the set of vectors in P₂ is linearly independent or linearly dependent. S = {2 + 4x + x², −1+ 3x + 3x², 4x} O linearly independent linearly dependent

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 set of vectors in P₂ is linearly independent or linearly dependent.
S = {2 + 4x + x², −1+ 3x + 3x², 4x}
O linearly independent
linearly dependent
Transcribed Image Text:Determine whether the set of vectors in P₂ is linearly independent or linearly dependent. S = {2 + 4x + x², −1+ 3x + 3x², 4x} O linearly independent linearly dependent
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