For the system of differential equations, -5 [54] 2 a) Find the characteristic polynomial of the matrix of coefficients A. CA(X) A1, A2 = b) Find the eigenvalues of A. Enter the eigenvalues as a list in ascending order separated by commas. U1 U2 = = c) Find the eigenvectors assuming u₁ is the eigenvector associated with the smaller eigenvalue X₁ and u₂ is the eigenvector associated with the larger eigenvalue X2. y₂ (t) y' = d) Determine two linearly independent solutions to the system. Enter the first solution in the format y₁(t) = fi(t) (vigi(t) – v2g2(t)) . y₁ (t) Enter the second solution in the format y₂(t) = f2(t) (v3h₁(t) + -V₁h₂(t)) = = +

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