Question:
If $(A-2 B)=\left(\begin{array}{cc}1 & -2 \\ 3 & 0\end{array}\right)$ and $(2 A-3 B)=\left(\begin{array}{cc}-2 & 2 \\ 3 & -3\end{array}\right)$ then $B=?$
A. $\left(\begin{array}{cc}6 & -4 \\ -3 & 3\end{array}\right)$
B. $\left(\begin{array}{cc}-4 & 6 \\ -3 & -3\end{array}\right)$
C. $\left(\begin{array}{rr}4 & -6 \\ 3 & -3\end{array}\right)$
D. none of these
Solution: