Question: Let T be a linear transformation T : R3 - R a T b = a - b . 2c Let U = (i) Find

Let T be a linear transformation T : R3 - R a T b = a - b . 2c Let U = (i) Find the dimension of Wv. Say dim(Wv) = k. Then B = {v, T(v), T2(v), ... T-1(v)} is a basis of Wv. (ii) Express T* (v) in terms of B. (iii) Write the matrix M = [Two]B. (iv) Compute the characteristic polynomial of M, PM(x). (v) Check that PM(T) (v) = 0

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