24) Consider the linear transformation T: R² → R² defined by T(x,y) = (3x + 6y, 4x – y) and the ba B = {(1,2), (3,4)} and B' = {(3,0),(0, – 2)}. (a) Find As the standard matrix for T. (b) Find transition matrices Pg' and Pg'B- (c) Find Ags the matrix for T relative to B and the standard basis. (d) Find ARR the matrix for T relative to B and B'. %3D (e) Suppose [v = Find [T(7)]g, %3D (f) Find v and T(7).

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