8.3.25 Systems of Ordinary Differential Equations

Condition: Find a general solution to the system of differential equations by the matrix method. \ [\ left \ {\ begin {array} {l} x^{\ prime} = 4 x+3 y-2 z \\ y^{\ prime} = x+y+z \\ z^{\ prime} = x+3 y+z. \ end {Array} \ Right. \]