The matrix A = and 7 3 - [3] H Let x(t) be the position of a particle at time t. Suppose we solve the initial corresponding eigenvectors V₁ = has eigenvalues A₁ = 4 and ₂ = 6 value problem x' (t) = [()]= = A x(0) = [210] - [³] (0) 3 (0). 5 x(t) = [22 (6)] = [ to obtain C₁e¹t + c₂e6t [3cje4t + c et and C2= and V2 = ¯ï₁1 (t)` x₂ (t). then C1= 142

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