Let ₂ be the vector space of all polynomials of degree 2 or less, and let H be the subspace spanned by 7x - 2x² + 2, ·(x² + 2x +2) and 3x − x² + 1. 1 a. The dimension of the subspace H is b. Is {7x − 2x² +2,- (x² + 2x +2), 3x − x² +1} a basis for ➡? choose Be sure you can explain and justify your answer. c. A basis for the subspace His { Enter a polynomial or a comma separated list of polynomials (where you can enter xx in place of x²)

Let ₂ be the vector space of all polynomials of degree 2 or less, and let H be the subspace spanned by 7x - 2x² + 2, ·(x² + 2x +2) and 3x − x² + 1. 1 a. The dimension of the subspace H is b. Is {7x − 2x² +2,- (x² + 2x +2), 3x − x² +1} a basis for ➡? choose Be sure you can explain and justify your answer. c. A basis for the subspace His { Enter a polynomial or a comma separated list of polynomials (where you can enter xx in place of x²)

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 69E: Find a basis for R2 that includes the vector (2,2).

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