Find a such that the set W = {1+ 2x - x², ao + x + x²,5 - 5x+7x²} is linearly dependent in the vector space R[x]<2. a) a₁ = 3. b) ao = 2. c) ao = 1. d) None of the choices in the list is correct.

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
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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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Find a such that the set W = {1 + 2x − x², a₁ + x + x²,5 − 5x + 7x²} is linearly
dependent in the vector space R[x]<2.
a) a₁ = 3.
b) ao = 2.
c) ao = 1.
d) None of the choices in the list is correct.
Transcribed Image Text:Find a such that the set W = {1 + 2x − x², a₁ + x + x²,5 − 5x + 7x²} is linearly dependent in the vector space R[x]<2. a) a₁ = 3. b) ao = 2. c) ao = 1. d) None of the choices in the list is correct.
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