Let ₂ be the vector space of all polynomials of degree 2 or less, and let H be the subspacespanned by 14x² + 11x +8, 2x² + 2x + 1 and 6x² + 3x + 4.a. The dimension of the subspace H isb. Is {14x² + 11x + 8,2x² + 2x + 1,6x² + 3x +4} a basis for ₂? chooseBe sure you can explain and justify your answer.c. A basis for the subspace H is {}. Entera polynomial or a comma separated list of polynomials, where you can enter xx in place of x².

Given that be the vector space of all polynomials of degree or less.Let be the subspace spanned…

Let ₂ be the vector space of all polynomials of degree 2 or less, and let H be the subspace spanned by 14x² + 11x +8, 2x² + 2x + 1 and 6x² + 3x + 4. a. The dimension of the subspace H is b. Is {14x² + 11x +8,2x² + 2x + 1,6x² + 3x +4} a basis for ? choose Be sure you can explain and justify your answer. c. A basis for the subspace H is { }. 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 14x² + 11x +8, 2x² + 2x + 1 and 6x² + 3x + 4. a. The dimension of the subspace H is b. Is {14x² + 11x +8,2x² + 2x + 1,6x² + 3x +4} a basis for ? choose Be sure you can explain and justify your answer. c. A basis for the subspace H is { }. 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

Chapter5: Inner Product Spaces

Section5.CM: Cumulative Review

Problem 5CM: Take this test to review the material in Chapters 4 and 5. After you are finished, check your work...

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