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 matrix $X$ in following
X - B = A
X - B = A
✓
Answer
X - B = A
X = A + B
$X=\left[\begin{array}{cc}-1 & 0 \\ 2 & -4\end{array}\right]+\left[\begin{array}{cc}3 & -3 \\ -2 & 0\end{array}\right]=\left[\begin{array}{cc}-1+3 & 0-3 \\ 2-2 & -4+0\end{array}\right]=\left[\begin{array}{cc}2 & -3 \\ 0 & -4\end{array}\right]$
X = A + B
$X=\left[\begin{array}{cc}-1 & 0 \\ 2 & -4\end{array}\right]+\left[\begin{array}{cc}3 & -3 \\ -2 & 0\end{array}\right]=\left[\begin{array}{cc}-1+3 & 0-3 \\ 2-2 & -4+0\end{array}\right]=\left[\begin{array}{cc}2 & -3 \\ 0 & -4\end{array}\right]$
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