Question: Please help. Never taken Linear Algebra Consider the system i' = 4x y. 3'1 = 2x + y a) Write the system as X =

Please help. Never taken Linear Algebra

Please help. Never taken Linear Algebra Consider
Consider the system i' = 4x y. 3'1 = 2x + y a) Write the system as X = AX. Solve for eigenvalue and eigenvectors of A. 13) Find the general solution of the system. c) Classify the xed point at the origin. d) Solve the system subject to the initial condition (x0,y0) = (3,4). 6) Using matlab, nd the numerical solution to this equation (solve the ODE using matlab ode solver, not plotting the general solutions), draw a two-dimensional plot of several trajectories (like what I sketched out in the lecture). To assist the visualization, also plot out the directions of two eigenvectors of A, ideally using different color

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