Question

Нужно выполнить только задание номер 4 с подробностями. ( За спам репорт )

Answer 1

4)

$\displaystyle A=\left[\begin{array}{ccc}1\\2\end{array}\right] ; B=\left[\begin{array}{ccc}0&-1\end{array}\right]$

$A*B=\left[\begin{array}{ccc}1*0&1*(-1)\\2*0&2*(-1)\end{array}\right]=\left[\begin{array}{ccc}0&-1\\0&-2\end{array}\right]$

$\displaystyle 2*E=2*\left[\begin{array}{ccc}1&0\\0&1\end{array}\right]=\left[\begin{array}{ccc}2&0\\0&2\end{array}\right]$

$\displaystyle AB+2E=\left[\begin{array}{ccc}0&-1\\0&-2\end{array}\right]+\left[\begin{array}{ccc}2&0\\0&2\end{array}\right]=\left[\begin{array}{ccc}2&-1\\0&0\end{array}\right] =\left[\begin{array}{ccc}2&-1\end{array}\right]$

$\displaystyle (AB+2E)*A=\left[\begin{array}{ccc}2&-1\end{array}\right]*\left[\begin{array}{ccc}1\\2\end{array}\right]=\left[\begin{array}{ccc}2*1+(-1)*2\end{array}\right]=0$