Consider a 2x2 matrix A with eigenpairs Al = 4, VI and 12 = 2, v2 = 1- 1. Sketch a phase portrait of solutions to the differential equation X - A x o Label your axes . Indicate the direction of increasing time for all solutions drawn Make sure your phase portrait captures all qualitatively different solutions 2. Classify the equilibrium solution X = 0 3. Find the solution of the initial value problem X' = A X with initial condition x(0) 4. In the phase portrait done in part (1) additionally sketch the solution found in part (3) and label the initial condition