أوجد كل مما يأتي:

1A)

$\left[\begin{array}{cc}& \begin{array}{cc}1& -8\\ -17& 2\end{array}\end{array}\right]=\left[\begin{array}{cc}\begin{array}{cc}-3& 4\\ -9& -5\end{array}& \end{array}\right]-\left[\begin{array}{cc}\begin{array}{cc}-4& 12\\ 8& -7\end{array}& \end{array}\right]$

1B)

$\left[\begin{array}{cc}\begin{array}{ccc}-13& 5& 9\\ -11& -1& 11\end{array}& \end{array}\right]=\left[\begin{array}{cc}\begin{array}{ccc}-9& 8& 3\\ -2& 4& -7\end{array}& \end{array}\right]+\left[\begin{array}{cc}\begin{array}{ccc}-4& -3& 6\\ -9& -5& 18\end{array}& \end{array}\right]$

إذا كانت $\underset{\_}{T}=\left[\begin{array}{cc}\begin{array}{cccc}8& 0& 3& -2\\ -1& -4& -2& 9\end{array}& \end{array}\right]$ فأوجد $-\mathbf{4}\mathbf{T}$

$-4\underset{\_}{T}=\left[\begin{array}{cc}\begin{array}{cccc}-32& 0& -12& 8\\ 4& 16& 8& -36\end{array}& \end{array}\right]$

إذا كانت $\underset{\_}{A}=\left[\begin{array}{cc}\begin{array}{cc}-5& 3\\ 6& -8\\ 2& 9\end{array}& \end{array}\right] , \underset{\_}{B}=\left[\begin{array}{cc}& \begin{array}{cc}12& 5\\ 5& -4\\ 4& -7\end{array}\end{array}\right]$ فأوجد $-6\underset{\_}{B}+7\underset{\_}{A}$

$\begin{array}{r}7\underset{\_}{A}=\left[\begin{array}{cc}\begin{array}{cc}-35& 21\\ 42& -56\\ 14& 63\end{array}& \end{array}\right],-\underset{\_}{6}\underset{\_}{B}=\left[\begin{array}{cc}\begin{array}{cc}-72& -30\\ -30& 24\\ -24& 42\end{array}& \end{array}\right]\\ -6\underset{\_}{B}+7\underset{\_}{A}=\left[\begin{array}{cc}\begin{array}{cc}-107& -9\\ 12& -32\\ -10& 105\end{array}& \end{array}\right]\end{array}$

حل أسئلة تحقق من فهمك

أوجد كل مما يأتي:

1A)

$\left[\begin{array}{cc}& \begin{array}{cc}1& -8\\ -17& 2\end{array}\end{array}\right]=\left[\begin{array}{cc}\begin{array}{cc}-3& 4\\ -9& -5\end{array}& \end{array}\right]-\left[\begin{array}{cc}\begin{array}{cc}-4& 12\\ 8& -7\end{array}& \end{array}\right]$

1B)

$\left[\begin{array}{cc}\begin{array}{ccc}-13& 5& 9\\ -11& -1& 11\end{array}& \end{array}\right]=\left[\begin{array}{cc}\begin{array}{ccc}-9& 8& 3\\ -2& 4& -7\end{array}& \end{array}\right]+\left[\begin{array}{cc}\begin{array}{ccc}-4& -3& 6\\ -9& -5& 18\end{array}& \end{array}\right]$

2 ) إذا كانت $\underset{\_}{T}=\left[\begin{array}{cc}\begin{array}{cccc}8& 0& 3& -2\\ -1& -4& -2& 9\end{array}& \end{array}\right]$ فأوجد $-\mathbf{4}\mathbf{T}$

$-4\underset{\_}{T}=\left[\begin{array}{cc}\begin{array}{cccc}-32& 0& -12& 8\\ 4& 16& 8& -36\end{array}& \end{array}\right]$

إذا كانت $\underset{\_}{A}=\left[\begin{array}{cc}\begin{array}{cc}-5& 3\\ 6& -8\\ 2& 9\end{array}& \end{array}\right] , \underset{\_}{B}=\left[\begin{array}{cc}& \begin{array}{cc}12& 5\\ 5& -4\\ 4& -7\end{array}\end{array}\right]$ فأوجد $-6\underset{\_}{B}+7\underset{\_}{A}$

$\begin{array}{r}7\underset{\_}{A}=\left[\begin{array}{cc}\begin{array}{cc}-35& 21\\ 42& -56\\ 14& 63\end{array}& \end{array}\right],-\underset{\_}{6}\underset{\_}{B}=\left[\begin{array}{cc}\begin{array}{cc}-72& -30\\ -30& 24\\ -24& 42\end{array}& \end{array}\right]\\ -6\underset{\_}{B}+7\underset{\_}{A}=\left[\begin{array}{cc}\begin{array}{cc}-107& -9\\ 12& -32\\ -10& 105\end{array}& \end{array}\right]\end{array}$

4 ) أعمال: استعمل البيانات أعلاه لحساب معدل المبيعات والنفقات الشهري لجميع المعارض على فرض أن الشهر 30 يوم.