Question

Решите матрицу, и можно формулу плеезззз. ​

Answer 1

$A=\left(\begin{array}{ccc}1&2&1\\2&1&2\\1&2&3\end{array}\right);B=\left(\begin{array}{ccc}4&1&1\\4&2&0\\1&2&1\end{array}\right)\\\\AB=\left(\begin{array}{ccc}1&2&1\\2&1&2\\1&2&3\end{array}\right)*\left(\begin{array}{ccc}4&1&1\\4&2&0\\1&2&1\end{array}\right)=\left(\begin{array}{ccc}13&7&2\\14&8&4\\15&11&4\end{array}\right)$

$BA=\left(\begin{array}{ccc}4&1&1\\4&2&0\\1&2&1\end{array}\right)*\left(\begin{array}{ccc}1&2&1\\2&1&2\\1&2&3\end{array}\right)=\left(\begin{array}{ccc}7&11&9\\8&10&8\\6&6&8\end{array}\right)\\AB-BA=\left(\begin{array}{ccc}13&7&2\\14&8&4\\15&11&4\end{array}\right)-\left(\begin{array}{ccc}7&11&9\\8&10&8\\6&6&8\end{array}\right)=\left(\begin{array}{ccc}6&-4&-7\\6&-2&-4\\9&5&-4\end{array}\right)$