Question

Решить матричное уравнение

Answer 1

$X=\left[\begin{array}{cc}1&2\\-1&-2\end{array}\right]*\left[\begin{array}{cc}3&1\\2&4\end{array}\right]^{-1} =\\\\=\left[\begin{array}{cc}1&2\\-1&-2\end{array}\right]*\frac{1}{3*4-1*2}\left[\begin{array}{cc}4&-1\\-2&3\end{array}\right]=\\\\=\frac{1}{10}*\left[\begin{array}{cc}0&5\\0&-5\end{array}\right]=\left[\begin{array}{cc}0&0.5\\0&-0.5\end{array}\right]$