the following is true about the subset T={1+2x– x²,2+ 3x+x²,4+7x – x²} of the vector space R[x] of polynomials of degree 2 or less? <2 O A. SpanT=R[x]<2 B. T İs linearly dependent. T İs linearly independent. 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
Section4.4: 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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the following is true about the subset
T={1+2x– x²,2+ 3x+x²,4+7x – x²}of the vector space R[x] of
polynomials of degree 2 or less?
<2
O A. SpanT=R[x]<2
B. Tİs linearly dependent.
Tis linearly independent.
D. None of the choices in the list is correct.
Transcribed Image Text:the following is true about the subset T={1+2x– x²,2+ 3x+x²,4+7x – x²}of the vector space R[x] of polynomials of degree 2 or less? <2 O A. SpanT=R[x]<2 B. Tİs linearly dependent. Tis linearly independent. D. None of the choices in the list is correct.
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