Question: Typo: x(0) = (0,-1,1)^t Using Semi-simple and Nilpotent method A= S+N -2 0 0 1 -2 0 0 1 -2 (9) Solve = Ar, x(0)

$(9) Solve $ \dot{x}=A x, x(0)=(0,-1,1,-1)^{t} $ where \( A=\left(\begin{array}{ccc}-2 & 0 & 0 \\ 1 & -2 & 0 \\ 0 & 1 & -2\e$

Typo: x(0) = (0,-1,1)^t

Using Semi-simple and Nilpotent method A= S+N

-2 0 0 1 -2 0 0 1 -2 (9) Solve = Ar, x(0) = (0,-1,1, -1)' where A = You should follow the method covered in class but may use Matlab or Math- ematica or the like to perform the calculations.

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