Find matrix

Question:

Find matrix $X$, if $\left[\begin{array}{rrr}3 & 5 & -9 \\ -1 & 4 & -7\end{array}\right]+X=\left[\begin{array}{lll}6 & 2 & 3 \\ 4 & 8 & 6\end{array}\right]$.

 

Solution:

Given $\left[\begin{array}{ccc}3 & 5 & -9 \\ -1 & 4 & -7\end{array}\right]+x=\left[\begin{array}{lll}6 & 2 & 3 \\ 4 & 8 & 6\end{array}\right]$

$x=\left[\begin{array}{lll}6 & 2 & 3 \\ 4 & 8 & 6\end{array}\right]-\left[\begin{array}{ccc}3 & 5 & -9 \\ -1 & 4 & -7\end{array}\right]$

$=\left[\begin{array}{ccc}3 & -3 & 12 \\ 5 & 4 & 13\end{array}\right]$

Conclusion : $x=\left[\begin{array}{ccc}3 & -3 & 12 \\ 5 & 4 & 13\end{array}\right]$

 

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