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