Question: Consider the following two-dimensional linear dynamical system, % 2 10 8 :61 8 10 132. dt 1. What is the trace and determinant of this

Consider the following two-dimensional linear dynamical system, % 2 10 8 :61 8 10 132. dt 1. What is the trace and determinant of this system? 2. Find the eigen values and eigen vectors. 331(t) $2 ('5) 4. Sketch the phase portrait for this system. 5. Write the equivalent second order differential 1D equation for the 2D first 3. Write the solution ( ) of the system. order system above. 6. Evaluate the contour integral I : f0 d9 : ArcTan($1/m~2), and C is a circle of radius 1 centered at the origin. What is the value I which you have just computed called

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