Consider the following two-dimensional linear dynamical system, dx₁ dt dx2 dt 10 8 - · (²8_ _30) (2¹). -8 -10, 1. What is the trace and determinant of this system? 2. Find the eigen values and eigen vectors. (x₁(t)` of the system. (x₂(t), 3. Write the solution

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A: Reference: Differential Equations, Linear Algebra

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