Question: Let !]. A= [8 5 [1 - 8t X = -3 and f(t) = 1 + 8t (a) Find the complex eigenvalues and eigenvectors of

Let !]. A= [8 5 [1 - 8t X = -3 and f(t) = 1 + 8t (a) Find the complex eigenvalues and eigenvectors of A. (b) Use results of part (a) to derive the general solution of x' = Ax. (c) Use method of undetermined coefficient to find a particular solution of the non- homogeneous equation x' = Ax + f(t)

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