Let P2 be the vector space of all polynomials of degree 2 or less, and let H be the subspace spanned by 7x - 3x² +4,- (2x + 1) and 15x - 3x² +8. a. The dimension of the subspace H is b. Is {7x - 3x² + 4,- (2x + 1), 15x - 3x² +8} a basis for P₂? choose choose basis for P2 not a basis for P_2 c. A basis for the subspace H is { place of ² ✓ Be sure you can explain and justify your answer. r a polynomial or a comma separated list of polynomials, where you can enter xx in

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Q: How do you find a basis for a given subspace? May you please throw in an example too?

A: See the attachment.

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