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Consider the system of linear ordinary differential equations dx dt Ax where A is a 3 x 3 matrix with eigenvalue-eigenvector pairs >1 = 7,

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Consider the system of linear ordinary differential equations dx dt Ax where A is a 3 x 3 matrix with eigenvalue-eigenvector pairs >1 = 7, v1 = [-2, -2, 2]; 12 - -3, v2 - [2, 3, 1] and 13 = -4, v3 = [3, -1, 1]. If x = [2, 3, 1] initially, what is x(t)? Answer: x(t) =

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