Let $AX=D$ be a system of three linear non-homogeneous equations. If $|A|=0$ and $\operatorname{rank}(A)=\operatorname{rank}([AD])=\alpha$, then

• A
  $AX=D$ will have infinite number of solutions when $\alpha=3$
• B
  $AX=D$ will have unique solution when $\alpha < 3$
• C
  $AX=D$ will have infinite number of solutions when $\alpha < 3$
• D
  $AX=D$ will have no solution when $\alpha < 3$