Question: Question 8 (12 marks) Consider the function T : P2 > 'P3 given by Let B : {1,33,322} be the ordered standard basis of P2.

Question 8 (12 marks) Consider the function T : P2 > 'P3 given by Let B : {1,33,322} be the ordered standard basis of P2. Let C = {2, %$, 3222,5133 2} be an ordered basis of 'P3. a Prove that T is a linear transformation. ( ) (b) Find the matrix representation of T With respect to the bases 3 and C. (e) Let u = 2:1:2 3x + 1. Using part (b), nd [T(u)]c. (d) Is T surjective? Explain your answer. ) (e Is T invertible? Explain your

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