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Find a basis {p(x), q(x)} for the vector space {f(x) = P₂[x] | ƒ'(1) = f(1)} where P₂[x] is the vector space of polynomials in x with degree at most 2. You can enter polynomials using notation e.g., 5+3xx for 5 + 3x². p(x) = , q(x) = =

Find a basis {p(x), q(x)} for the vector space {f(x) = P₂[x] | ƒ'(1) = f(1)} where P₂[x] is the vector space of polynomials in x with degree at most 2. You can enter polynomials using notation e.g., 5+3xx for 5 + 3x². p(x) = , q(x) = =

Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter4: Vector Spaces
Section4.5: Basis And Dimension
Problem 66E
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Find a basis {p(x), q(x)} for the vector space {f(x) = P₂[x] | ƒ'(1) = f(1)} where P₂ [x] is the vector space of polynomials in x with degree at most 2. You can enter polynomials using notation e.g., 5+3xx for 5 + 3x². p(x) = , q(x) = =
Transcribed Image Text:Find a basis {p(x), q(x)} for the vector space {f(x) = P₂[x] | ƒ'(1) = f(1)} where P₂ [x] is the vector space of polynomials in x with degree at most 2. You can enter polynomials using notation e.g., 5+3xx for 5 + 3x². p(x) = , q(x) = =
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