Let P₂ be the vector space of all polynomials of degree 2 or less, and let H be the subspace spanned by x - 4x² +2, 39x² - 20x - 16 and 3x - 7x² +3. a. The dimension of the subspace H is b. Is {x - 4x² + 2,39x² – 20x − 16, 3x − 7x² + 3} a basis for P₂ ✓ choose basis for P_2 not a basis for P_2 c. A basis for the subspace H is ${ (where you can enter xx in place of x² ) Be sure you can explain and justify your answer. lynomial or a comma separated list of polynomials

Let P₂ be the vector space of all polynomials of degree 2 or less, and let H be the subspace spanned by x - 4x² +2, 39x² - 20x - 16 and 3x - 7x² +3. a. The dimension of the subspace H is b. Is {x - 4x² + 2,39x² – 20x − 16, 3x − 7x² + 3} a basis for P₂ ✓ choose basis for P_2 not a basis for P_2 c. A basis for the subspace H is ${ (where you can enter xx in place of x² ) Be sure you can explain and justify your answer. lynomial or a comma separated list of polynomials

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter3: Matrices

Section3.5: Subspaces, Basis, Dimension, And Rank

Problem 10EQ

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