8.3.40 Systems of Ordinary Differential Equations

Condition: Find a general solution to the system of equations. \ (\ dot {x} = a x, \ quad \) where \ (\ dot {x} = \ frac {d x} {d t}, \ quad x^{t} = \ left (x_ {1}; x_ {2}; x_} \ right) \), \ (( A = \ Left (\ Begin {Array} {CCC} 2 & 1 & -1 \\ 1 & 2 &1 &1 -1 & 1 & 2 \ END {Array} \ RIGHT) \)