A particle moving in a planar force field has a position vector x that satisfies x' = Ax. The 2x2 matrix A has eigenvalues 7 and 6, with corresponding eigenvectors 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 complete your choice. (Type integers or simplified fractions.) O A. X(1) = O 1 -2 61. (O - 6 O B. x(t) = ()

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