Determine the general solutions to the system x'=Ax for the given matrix A.
A= -2, 0, 0
1,-3,-1
-1, 1,-1
Please help me. I am stuck up in taking v0.
The eigenvalue equation for A is $\displaystyle \left|\begin{array}{ccc}-2-\lambda & 0 & 0 \\ 1 & -3-\lambda & -1 \\ -1 & 1 & -1-\lambda\end{array}\right|= 0$. Solve that. Expanding by the first row should make that particularly easy. I don't know what you mean by "taking v0".