Question: a) Let V be a vector space with basis B = {b1, b2) . Let T : R' - R2 be a linear transformation such

a) Let V be a vector space with basis B = {b1, b2) . Let T : R' - R2 be a linear transformation such that T(b1) = b1 - 5b2, T(b2) = -3b1 + 9b2. b) Let c1 = 2b1 + b2, c2 = b1 + b2. Explain why C = {C1, C2) is a basis for V. What is the transition matrix PB+ C from the basis C to the basis B?c) Find the matrix Find the matrix [Tic of T with respect to the basis C

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