![\left[\begin{array}{cc}4&-2\\1&-6\end{array}\right]\left[\begin{array}{c}x\\y\end{array}\right]\textrm{ = }\left[\begin{array}{c}14\\-13\end{array}\right]](/tpl/images/0354/0649/a63df.png)
⇒
![A=\left[\begin{array}{cc}a&b\\c&d\end{array}\right]](/tpl/images/0354/0649/43a39.png)
of size 
× ![A^{-1}=\frac{1}{ad-bc}\left[\begin{array}{cc}d&-b\\-c&a\end{array}\right]](/tpl/images/0354/0649/271d9.png)
.![\left[\begin{array}{cc}4&-2\\1&-6\end{array}\right]^{-1}=\frac{1}{-22}\left[\begin{array}{cc}-6&2\\-1&4\end{array}\right]](/tpl/images/0354/0649/7b928.png)
![\left[\begin{array}{c}x\\y\end{array}\right]=\frac{1}{-22}\left[\begin{array}{cc}-6&2\\-1&4\end{array}\right]\left[\begin{array}{c}14\\-13\end{array}\right]=\left[\begin{array}{c}5\\3\end{array}\right]](/tpl/images/0354/0649/c8d48.png)
Find system by matrix 4) 4x – 2y = 14
x - 6y=-13...
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