Let P2 be the vector space of all polynomials of degree 2 or less, and let H be the subspace spanned by (5x2 + 2x + 1), 3 - (3x2 + x) and - (2x2 + x + 1). | a. The dimension of the subspace H is b. Is...

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Chapter 4.1 Question 8

Extracted text: Let P2 be the vector space of all polynomials of degree 2 or less, and let H be the subspace spanned by (5x2 + 2x + 1), 3 - (3x2 + x) and - (2x2 + x + 1). | a. The dimension of the subspace H is b. Is {- (5x2 + 2x + 1),3 – (3x? + x), – (2x² + x + 1)} a basis for P2? basis for P_2 you can explain and justify your answer. v Be sure c. A basis for the subspace H is { }. Enter a polynomial or a comma separated list of polynomials.