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nd f(x) = Ax. 29 16 Suppose A = | | a 48 27 a. If possible, complete the following equations; otherwise, enter DNE. 29 16|)/-1 1 is on ] 7 J | f((4,8)) =[ } (4,8) #((4,8)) =[_ ] (2,3) b. The linear transformation f acts like multiplication by a in the subspace span{ (1, 2)}. c. Is the vector (1, 2) an eigenvector for A? choose v If so, what is its associated eigenvalue? d. Is the vector (4, 8) an eigenvector for A? choose v If so, what is its associated eigenvalue? a e. Are the vectors (1, 2) and (4, 8) in the same eigenspace? choose v f. If the vector (2, k) is an eigenvector for A with eigenvalue 5, then k = a g. The linear transformation f acts like multiplication by 5 in the subspace span{ [| }- Enter your answer as a coordinate vector of the form . h. Is the vector (8, 12) an eigenvector for f? choose ~ If so, what is its associated eigenvalue? a