Question

Dadas as matrizes ( podem me ajudar)

Answer 1

$A+B+C= \\ \\ \left(\begin{array}{cc}4&-3 \\ 6&2\end{array}\right) + \left(\begin{array}{cc}3&-4 \\ -2&6\end{array}\right) + \left(\begin{array}{cc}5&1 \\ 7&-2\end{array}\right) = \\ \\ \\ \left(\begin{array}{cc}4+3+5&-3-4+1 \\ 6-2+7&2+6-2\end{array}\right) = \\ \\ \\ \left(\begin{array}{cc}12&-6 \\ 11&6\end{array}\right)$

$C-A= \\ \\ \left(\begin{array}{cc}5-4&1+3 \\ 7-6&-2+2\end{array}\right) = \left(\begin{array}{cc}1&4 \\ 1&0\end{array}\right)$


$-8B= \\ \\ -8 \left(\begin{array}{cc}3&2 \\ -2&6\end{array}\right) = \left(\begin{array}{cc}-8(3)&-8(-4) \\ -8(-2)&-8(6)\end{array}\right) = \left(\begin{array}{cc}-24&+32 \\ +16&-48\end{array}\right)$ 

$2A-3C^t= \\ \\ C^t= \left(\begin{array}{cc}5&7 \\ 1&-2\end{array}\right) \\ \\ \\ 2 \left(\begin{array}{cc}4&-3 \\ 6&-2\end{array}\right) -3 \left(\begin{array}{cc}5&7 \\ 1&-2\end{array}\right) = \\ \\ \\ \left(\begin{array}{cc}8&-6 \\ 12&-4\end{array}\right) - \left(\begin{array}{cc}15&21 \\ 3&-6\end{array}\right) = \\ \\ \\ \left(\begin{array}{cc}8-15&-6-21 \\ 12-3&-4+6\end{array}\right) = \left(\begin{array}{cc}-7&-27 \\ 9&2\end{array}\right)$