Question: Problem 1. Given n E N, let. P. be the vector space of all polynomial functions of degree at most 11. Consider the map D

Problem 1. Given n E N, let. \"P.\" be the vector space of all polynomial functions of degree at most 11. Consider the map D : \"P\" > R sending f to f'UJ). (a) Show that D is a linear transformation. [b] Find a basis for the kernel of D. (e) Find a basis for the image of D

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