Question: Let A be a 22 matrix with double eigenvalue but only one corresponding eigenvector v.Consider the system tx=Ax,t >0.Guess a second solution(besides x=vt^) of the

Let A be a 22 matrix with double eigenvalue but only one corresponding eigenvector v.Consider the system tx=Ax,t >0.Guess a second solution(besides x=vt^) of the form x=wt^ln(t) +t^ and derive conditions on w, for this to be a non-trivial solution.

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