4.3 Let Your answers to thefowing questions should be numeric and specific to this particular trix, not just the general definitions (a) What is the characteristic polynomial of A? (b) What are the roots of the characteristic polynomial of A? (c) What are the eigenvalues of A? (d) What are the corresponding eigenvectors of A? (e) Perform one iteration of the power method on A, using zo [1 1]T as starting vector. (f) To what eigenvector of A will the power method ultimately converge? (9) What eigenvalue estimate is given by ient, using the vector x [1 1