1) The system of linear equations : x + y+ z = 0, 2x + y - z = 0, 3x +2y = 0 has: A) no solution B) a unique solution C) an infinitely many solution D) None of these Answer: Option CExplanation:The system is a homogeneous system. It has either unique solution or infinite many solution depend on |A| |A| = $\begin{vmatrix}1& 1 & 1 \\ 2 & 1 & -1 \\ 3 & 2 & 0 \end{vmatrix}$ = 2× 1+ 1(-3)+(4-3) = 2-3+1=0
