Question: 2 0 Suppose A = [ U 2 :| and f(x) = Ax. a. If possible, complete the following equations; othenivise. enter DNE. 2 0

2 0 Suppose A = [ U 2 :| and f(x) = Ax. a. If
2 0 Suppose A = [ U 2 :| and f(x) = Ax. a. If possible, complete the following equations; othenivise. enter DNE. 2 0 71 71 [0 2H2]=-[2] men6 : :] (3:45) rum6)) = (23) b. The linear transformation f acts like multiplication by in the subspace span{(1, 2)}. o. Is the vector (1, 2) an eigenvector for A? yes v It so, what is its associated eigenvalue? d. Is the vector (3, 76) an eigenvector for A? yes v It so, what is its associated eigenvalue? e. Are the vectors (*1, 2) and (3, 76) in the same eigenspace? yes v f. If the vector {72, k) is an eigenvector for A with eigenvalue 2, then k = C] 9. The linear transformation f acts like multiplication by 2 in the subspace span{ :] }. Enter your answer as a coordinate vector of the form . h. Is the vector (10, 15) an eigenvector for f? yes v If so, what is its associated eigenvalue? [:]

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