Question: Consider a linear continuous-time model with eigenvalues 1 and 2 and associated eigenvectors U and V, respectively. It has an equilibrium point at the origin

Consider a linear continuous-time model with eigenvalues 1 and 2 and associated eigenvectors U and V, respectively. It has an equilibrium point at the origin (0, 0). List the types of equilibrium points and the corresponding conditions on the eigenvalues. Make sure to mention when there is oscillation along on axis. Split the cases between real and complex eigenvalues.

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