设矩阵 $A=\left(\begin{array}{lll}1 & 0 & 1 \\ 0 & 0 & 1 \\ 1 & 1 & 3 \\ 1 & 1 & 1\end{array}\right), C=\left(\begin{array}{ll}2 & 0 \\ 1 & 1 \\ 1 & 1 \\ a & b\end{array}\right)$ ．若存在矩阵 $B$ 满足 $A B=C$ ，则
A. $a=-1, b=-1$
B. $a=2, b=2$
C. $a=-1, b=2$
D. $a=2, b=-1$