For each of the following linear systems of equationsshowing your work, identify the complete solution set in vectorform for the homogenous system, andFind a particular solution for the Non-homoge \begin{tabular}{c|c|c} 8 & \( x_{1}+x_{2}+x_{3}+x_{4}=0 \) & \( x_{1}+x_{2}+x_{3}+x_{4}=7 \) \\ & \( 0 x_{1}+x_{2}+2 x_{3}+3 x_{4}=0 \) & \( 0 x_{1}+x_{2}+2 x_{3}+3 x_{4}=6 \) \\ \hline 9 & \( x_{1}+2 1 answer