Question
Given $A=\left[\begin{array}{cc}1 & 1 \\ -2 & 0\end{array}\right]$ and $B=\left[\begin{array}{cc}2 & -1 \\ 1 & 1\end{array}\right] 3X + B + 2A = O$
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Answer
$3X + B + 2A = O$
$3X = -2A - B$
$\begin{array}{l}3 X=-2\left[\begin{array}{cc}1 & 1 \\ -2 & 0\end{array}\right]-\left[\begin{array}{cc}2 & -1 \\ 1 & 1\end{array}\right] \end{array} $
$ 3 X=\left[\begin{array}{cc}-2 & -2 \\ 4 & 0\end{array}\right]-\left[\begin{array}{cc}2 & -1 \\ 1 & 1\end{array}\right] $
$ 3 X=\left[\begin{array}{cc}-4 & -1 \\ 3 & -1\end{array}\right] $
$ X=\left[\begin{array}{cc}\frac{-4}{3} & \frac{-1}{3} \\ 1 & \frac{-1}{3}\end{array}\right]$
$3X = -2A - B$
$\begin{array}{l}3 X=-2\left[\begin{array}{cc}1 & 1 \\ -2 & 0\end{array}\right]-\left[\begin{array}{cc}2 & -1 \\ 1 & 1\end{array}\right] \end{array} $
$ 3 X=\left[\begin{array}{cc}-2 & -2 \\ 4 & 0\end{array}\right]-\left[\begin{array}{cc}2 & -1 \\ 1 & 1\end{array}\right] $
$ 3 X=\left[\begin{array}{cc}-4 & -1 \\ 3 & -1\end{array}\right] $
$ X=\left[\begin{array}{cc}\frac{-4}{3} & \frac{-1}{3} \\ 1 & \frac{-1}{3}\end{array}\right]$
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