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For each of the following systems of the form X'=AX a) Find the eigenvalues and eigenvectors of A. b) Find the matrix T that puts

For each of the following systems of the form X'=AX

a) Find the eigenvalues and eigenvectors of A.

b) Find the matrix T that puts A in canonical form.

c) Find the general solution of both X'=AX and Y'=(T^-1AT)Y

d) Sketch the phase portraits of both systems.

 

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