Question
Solve the matrix equation $\left[\begin{array}{ll}2 & 1 \\ 5 & 0\end{array}\right]-3 X =\left[\begin{array}{cc}-7 & 4 \\ 2 & 6\end{array}\right]$
✓
Answer
$\begin{aligned} & {\left[\begin{array}{ll}2 & 1 \\ 5 & 0\end{array}\right]-3 X =\left[\begin{array}{cc}-7 & 4 \\ 2 & 6\end{array}\right]} \\ & {\left[\begin{array}{ll}2 & 1 \\ 5 & 0\end{array}\right]-\left[\begin{array}{cc}-7 & 4 \\ 2 & 6\end{array}\right]=3 X } \\ & \therefore X =\frac{1}{3}\left[\begin{array}{ll}9 & -3 \\ 3 & -6\end{array}\right] \\ & =\left[\begin{array}{ll}3 & -1 \\ 1 & -2\end{array}\right] .\end{aligned}$
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