A particle moving in a planar force field has a position vector x that satisfies x' = Ax. The 2x2 matrix A has eigenvalues 3 and 2, with corresponding eigenvectors v; = and v, .Find the position of the particle at time t assuming that x(0) = Select the correct choice below and fill in the answer boxes to complete your choice. (Type integers or simplified fractions.) 21 -1 3t 1 -1 O B. X(t) = (O

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