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Assume that a matrix A has the following set of eigenvalue/eigenvector pairs: 4 3 0 = -2, g(1) -5 ; 2 = -1, {(3)

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Assume that a matrix A has the following set of eigenvalue/eigenvector pairs: 4 3 0 " = -2, g(1) -5 ; 2 = -1, {(3) = -4 ; r3 = 2, (3) 1 satisfying the initial condition X (0) = 4 . Find the solution to this initial value problem. O O None of the above O 3 X(t) = -3 e #+ 4 -4 e * + 5 p2t O X(t) = -3 e + 4 -21 + 5 eat O X(t) = -3

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