Question 3 (4 points) Let V be a vector space with dimension n and let B = { v1, v2, . .. , Vn) be an ordered basis for V. There is a unique linear transformation T : V - V such that T(vi) = Viti for i = 1, ..., n - 1 and T(Vn) = 0. Answer the following questions. Show all your work. It is not sufficient to simply write down the answer without calculations or reasons. a) What is A = [TIB?Answer the following questions. Show all your work. It is not sufficient to simply write down the answer without calculations or reasons. a) What is A = [T]B? b) First show that Th = 0, (i.e. show is the zero linear transformation, namely T" (v) = 0 for all v E V), and then also show Tn- # 0. I have written out my solution to this problem and will include it in my single PDF file to upload to Gradescope at the end of the test