Application to Differential Equations

A particle moving in a planar force field has a position vector x that satisfies x' = Ax. The 2x2 matrix A has eigenvalues 4 and 2, with corresponding eigenvectors

v1 = [-3

1] and

v2 = [-1

1] Find the position of the particle at time t, assuming that

x(0) = [-6

1].

I hate to ask like this..but I really have no clue on where to start this. I think I am trying to find x(t), but I don't know how I would go about doing that. Can anyone explain this to me or give me some hints/starting points explained? Thank you for any help.