Let Pn be the vector space of all polynomials of degree n or less in the variable x. Let D2:P4→P2 be the linear transformation that takes a polynomial to its second derivative. That is, D2(p(x))=p′′(x) for any polynomial p(x) of degree 4 or less.

a) find a basis for kernel of D2

b) find a basis for image of D2

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a Let P n be the vector space of all polynomials of degree n or less than x Let ... View the full answer