Let P2 be the vector space of all polynomials of degree 2 or less, and let H be the subspace spanned by 9x- 8x2-4, 7x – 10x2-7 and 2x-x a The dimension of the subspace H is b. Is (9x-8x2– 4,7x– 10x²–7,2x– x²) a basis for P2? 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.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.9: Properties Of Determinants
Problem 46E
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Let P2 be the vector space of all polynomials of degree 2 or less, and let H be the subspace spanned by 9x - 8x2– 4, 7x – 10x2-7 and 2x - x2.
a The dimension of the subspace H is
b. Is (9x- 8x2 -4,7x– 10x²– 7,2x – x²) a basis for P2? 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.
Transcribed Image Text:Let P2 be the vector space of all polynomials of degree 2 or less, and let H be the subspace spanned by 9x - 8x2– 4, 7x – 10x2-7 and 2x - x2. a The dimension of the subspace H is b. Is (9x- 8x2 -4,7x– 10x²– 7,2x – x²) a basis for P2? 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.
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