The intersection of an arbitary collection of subspaces of a vector space is also a subspace.

段階的に解決し、 人工知能を使用せず、 優れた仕事を行います ご支援ありがとうございました SOLVE STEP BY STEP IN DIGITAL FORMAT DON'T USE AI | DON'T USE AI DON'T USE AI DON'T USE AI | 1. Prove that the set is a subspace of the vector space R^4

Let P₂ be the vector space of all polynomials of degree 2 or less, and let H be the subspace spanned by 14x² + 12x +11, 9x² + 8x +7 and - (22x² + 20x +17). a. The dimension of the subspace His b. Is {14x² + 12x + 11, 9x² + 8x +7, − (22x² + 20x +17)} 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.