Which of the following is true about the subset of polynomials of degree 2 or less? T=(1+2x-x2.2+3x+x2.4+7x-x2) of the vector space RIx) Oa. None of the choices in the list is correct. Ob.SpanT =R[x is linearly independent. T Odris linearly dependent.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.4: Linear Transformations
Problem 24EQ
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Question 2
Which of the following is true about the subset
T={1+2x- x²,2+3x+ x2,4+7x-x2) Of the vector space RIx1
O a. None of the choices in the list is correct.
of polynomials of degree 2 or less?
<2
b. SpanT =R[x]
2
Oc, is linearly independent.
T.
Od.T is linearly dependent.
Transcribed Image Text:Question 2 Which of the following is true about the subset T={1+2x- x²,2+3x+ x2,4+7x-x2) Of the vector space RIx1 O a. None of the choices in the list is correct. of polynomials of degree 2 or less? <2 b. SpanT =R[x] 2 Oc, is linearly independent. T. Od.T is linearly dependent.
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