Question
If $A+B=\left[\begin{array}{ll}1 & 0 \\ 0 & 1\end{array}\right]$ and $A-2 B=\left[\begin{array}{cc}-1 & 1 \\ 0 & -1\end{array}\right]$, then $A$ $=$ _______

Answer

$A=\left[\begin{array}{ll}1 / 3 & 1 / 3 \\ 2 / 3 & 1 / 3\end{array}\right]$

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