Let P₂ be the vector space of all polynomials of degree 2 or less, and let H be the subspace spanned by 4 - (9x² + 3x), 7 − (16x² + 4x) and 55x² + 13x − 24. a. The dimension of the subspace His b. Is {4 (9x² +3x), 7 − (16x² + 4x),55x² + 13x − 24} a basis for P₂? choose c. A basis for the subspace H is { ✓ Be sure you can explain and justify your answer. }. Enter a polynomial or a comma separated list of polynomials, where you can enter xx in place of ².

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.4: The Dot Product
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 4 - (9x² +3x), 7 − (16x² + 4x) and 55x² + 13x – 24.
a. The dimension of the subspace H is
b. Is {4 (9x² + 3x), 7 – (16x² + 4x), 55x² + 13x − 24} a basis for P₂? choose
c. A basis for the subspace H is {
✓ Be sure you can explain and justify your answer.
}. Enter a polynomial or a comma separated list of polynomials, where you can enter xx in place of ².
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 4 - (9x² +3x), 7 − (16x² + 4x) and 55x² + 13x – 24. a. The dimension of the subspace H is b. Is {4 (9x² + 3x), 7 – (16x² + 4x), 55x² + 13x − 24} a basis for P₂? choose c. A basis for the subspace H is { ✓ Be sure you can explain and justify your answer. }. Enter a polynomial or a comma separated list of polynomials, where you can enter xx in place of ².
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