Find the general solution.
X' = (1 0 0
2 2 -1
0 1 0) X
Please see the attached file.
This is a typical problem for repeated eigenvalues. To make sure you understand the theory, I have included a reference which has very nice explanation of this.
In general, a repeated value problem will have a general solution of the ...
The solutions provides detailed explanations on system of Linear Differential Equations and the required calculations.