Which of the following is true about the subset T = {1+ 2x - x², 2 + 3x + x²,4 + 7x − x²} of the vector space R[x]<2 of polynomials of degree 2 or less? a) T is linearly independent. b) SpanT= R[x] <2. c) T is linearly dependent. d) None of the choices in the list is correct.

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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Which of the following is true about the subset
T = {1+ 2x - x², 2 + 3x + x²,4 + 7x − x²} of the vector space R[x]<2 of polynomials
of degree 2 or less?
a) T is linearly independent.
b) SpanT = R[x]≤2·
c) T is linearly dependent.
d) None of the choices in the list is correct.
Transcribed Image Text:Which of the following is true about the subset T = {1+ 2x - x², 2 + 3x + x²,4 + 7x − x²} of the vector space R[x]<2 of polynomials of degree 2 or less? a) T is linearly independent. b) SpanT = R[x]≤2· c) T is linearly dependent. d) None of the choices in the list is correct.
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