Let $A = \left[{\begin{matrix}6 & 6 \cr 2 & 5 \cr 4 & 8 \cr \end{matrix}}\right]$.

We want to determine if the system $A{\bf x}={\bf b}$ has a solution for every ${\bf b} \in {\mathbb R}^3$.

Select the best answer.

A. There is a solution for every ${\bf b} \in {\mathbb R}^3$ since $2<3$
B. There is a not solution for every ${\bf b} \in {\mathbb R}^3$ but we need to row reduce $A$ to show this.
C. There is not a solution for every ${\bf b} \in {\mathbb R}^3$ since $2<3$.
D. There is a solution for every ${\bf b} \in {\mathbb R}^3$ but we need to row reduce $A$ to show this.
E. We cannot tell if there is a solution for every ${\bf b} \in {\mathbb R}^3$.