Question: Consider the system r' = 3r 4y, y = x- y. a) Use the Matlab command [P,D]=eig(A) (or any other software) to realize that

Consider the system r' = 3r 4y, y = x- y. a)

Consider the system r' = 3r 4y, y = x- y. a) Use the Matlab command [P,D]=eig(A) (or any other software) to realize that this matrix is not diagonalizable (why?). b) Use instead the command [P,J=jordan(A) to find the associated Jordan matrix J such that A = PJP. Write the general solution of the system algebraically. c) What can we say about the stability of the origin in this case?

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