Mathematics, 06.04.2020 22:27 Turtlelover05

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 the kernel of D².
(b) Find a basis for the image of D².

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Let Pn be the vector space of all polynomials of degree n or less in the variable x. Let D²: P4→P2 b...