Given the map T : P R where T(p) = ( answer the following questions....

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Given the map T : P₂ → R² where T(p) = ( answer the following questions. Example P(0) 7 calculation: if p(t) = 2t + 1, then T(p) = B (a) Show that T is a linear transformation. (b) Find a polynomial p in P2 so that kerT = Span{p} and write a general form for the range of T in terms of information from a generic p(t) = at² + bt + c. Given the map T : P₂ → R² where T(p) = ( answer the following questions. Example P(0) 7 calculation: if p(t) = 2t + 1, then T(p) = B (a) Show that T is a linear transformation. (b) Find a polynomial p in P2 so that kerT = Span{p} and write a general form for the range of T in terms of information from a generic p(t) = at² + bt + c.

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Solution a T P1R2 TO show T is a let c... View the full answer