its) Let P3:= {ao+ a₁x + a2x² + a3x³|ao, a1, a2, a3 € R} be the vector space of polynomials of degrees at most 3 with real coefficients. Is {2, (5-x), (6+ x)², (8 - x)³} a basis of P3? Justify your answer.
its) Let P3:= {ao+ a₁x + a2x² + a3x³|ao, a1, a2, a3 € R} be the vector space of polynomials of degrees at most 3 with real coefficients. Is {2, (5-x), (6+ x)², (8 - x)³} a basis of P3? Justify your answer.
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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