If $\left[\begin{array}{ccc}9 & -1 & 4 \\ -2 & 1 & 3\end{array}\right]=A+\left[\begin{array}{ccc}1 & 2 & -1 \\ 0 & 4 & 9\end{array}\right]$, then find matrix $A$.
$\left[\begin{array}{ccc}9 & -1 & 4 \\ -2 & 1 & 3\end{array}\right]=A+\left[\begin{array}{ccc}1 & 2 & -1 \\ 0 & 4 & 9\end{array}\right]$
$\Rightarrow A=\left[\begin{array}{ccc}9 & -1 & 4 \\ -2 & 1 & 3\end{array}\right]-\left[\begin{array}{ccc}1 & 2 & -1 \\ 0 & 4 & 9\end{array}\right]$
$=\left[\begin{array}{ccc}9-1 & -1-2 & 4+1 \\ -2-0 & 1-4 & 3-9\end{array}\right]$
$=\left[\begin{array}{ccc}8 & -3 & 5 \\ -2 & -3 & -6\end{array}\right]$
Hence, the matrix $A=\left[\begin{array}{ccc}8 & -3 & 5 \\ -2 & -3 & -6\end{array}\right]$
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