Question: Solve the given system of equations using either Gaussian or Gauss-Jordan elimination:

\[\begin{aligned} & -{{x}_{1}}+3{{x}_{2}}-2{{x}_{3}}+4{{x}_{4}}=0 \\ & 2{{x}_{1}}-6{{x}_{2}}+{{x}_{3}}-2{{x}_{4}}=-3 \\ & {{x}_{1}}-3{{x}_{2}}+4{{x}_{3}}-8{{x}_{4}}=2 \\ \end{aligned}\]