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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 (5æ2 + 19x), 8x – 7x2 + 2 and 3 – (x² + 9x). 8 – a. The dimension of the subspace H is b. Is {8 – (5x? + 19x), 8x – 7x² + 2,3 – (x² + 9x)} 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.

Let P2 be the vector space of all polynomials of degree 2 or less, and let H be the subspace spanned by (5æ2 + 19x), 8x – 7x2 + 2 and 3 – (x² + 9x). 8 – a. The dimension of the subspace H is b. Is {8 – (5x? + 19x), 8x – 7x² + 2,3 – (x² + 9x)} 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.

Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter4: Vector Spaces
Section4.CR: Review Exercises
Problem 73CR
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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 8 – (5x² + 19x), 8x – 7a² + 2 and 3 – (x² + 9x). a. The dimension of the subspace H is b. Is {8 – (5x² + 19x), 8x – 7x² + 2,3 – (x² + 9x)} 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 8 – (5x² + 19x), 8x – 7a² + 2 and 3 – (x² + 9x). a. The dimension of the subspace H is b. Is {8 – (5x² + 19x), 8x – 7x² + 2,3 – (x² + 9x)} 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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