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In: Advanced Math

3.Consider the system x*=4x-y, y*=2x+y (a) Write the system in matrix form  and find the eigenvalues and...

3.Consider the system x*=4x-y, y*=2x+y

(a) Write the system in matrix form  and find the eigenvalues and eigenvectors of the matrix A.

(b) Classify the fixed point at the origin

(c) Find the  general solution of the system

(d) Solve the system subject to the initial condition

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