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