(2 points) Let H be the subspace of P2 spanned by -5x² - 6x - 3, - 2x² - 2x - 1 and 3x² + 2x + 1. (a) A basis for H is { }. Enter a polynomial or a list of polynomials separated by commas, in terms of lower-case x . For example X+1,X-2 (b) The dimension of His (c) Is {-5x² - 6x - 3, -2x² - 2x - 1, 3x² + 2x + 1} a basis for P2?
(1 point) The set B = {1+x², 5+x+ 5x², 17 + 3x + 16x²} is a basis for P2. The coordinate vector of p(x) = 53 + 10x + 50x² relative to the basis B is [P]B =
(2 points) Let H be the subspace of P2 spanned by -5x² - 6x - 3, - 2x² - 2x - 1 and 3x² + 2x + 1. (a) A basis for H is {
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(2 points) Let H be the subspace of P2 spanned by -5x² - 6x - 3, - 2x² - 2x - 1 and 3x² + 2x + 1. (a) A basis for H is {
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