Вычислить матрицу:

[tex] \left[\begin{array}{ccc}11&3\\10&9\end{array}\right] [/tex] - 2

[tex] \left[\begin{array}{ccc}11&3\\ 10&9\end{array}\right] -2= \left[\begin{array}{ccc}11&3\\ 10&9\end{array}\right] -2E\,\, \boxed{=}[/tex]Где [tex]E[/tex] - единичная матрица.[tex]\boxed{=}\,\, \left[\begin{array}{ccc}11&3\\ 10&9\end{array}\right] -2 \left[\begin{array}{ccc}1&0\\ 0&1\end{array}\right] = \left[\begin{array}{ccc}11&3\\ 10&9\end{array}\right] - \left[\begin{array}{ccc}2\cdot 1&2\cdot 0\\ 2\cdot 0&2\cdot 1\end{array}\right] =\\ \\ = \left[\begin{array}{ccc}11&3\\ 10&9\end{array}\right] - \left[\begin{array}{ccc}2&0\\ 0&2\end{array}\right] = \left[\begin{array}{ccc}11-2&3-0\\ 10-0&9-2\end{array}\right] = \left[\begin{array}{ccc}9&3\\ 10&7\end{array}\right][/tex]