Question

exercício sobre matriz

Answer 1

Resposta:

a) $\left[\begin{array}{ccc}2&3\\1&2\end{array}\right] + \left[\begin{array}{ccc}1&5\\2&-2\end{array}\right] - \left[\begin{array}{ccc}2&0\\4&-6\end{array}\right]$ =

$\left[\begin{array}{ccc}2 + 1&3 + 5\\1 + 2&2 - 2\end{array}\right] - \left[\begin{array}{ccc}2&0\\4&-6\end{array}\right]$ =

$\left[\begin{array}{ccc}3&8\\3&0\end{array}\right] - \left[\begin{array}{ccc}2&0\\4&-6\end{array}\right]$ =

$\left[\begin{array}{ccc}3 - 2&8 - 0\\3 - 4&0 - (-6)\end{array}\right] =$   $\left[\begin{array}{ccc}1&8\\-1&6\end{array}\right]$

b)  3 ×  $(\left[\begin{array}{ccc}2&1\\3&2\end{array}\right] + \left[\begin{array}{ccc}1&5\\2&-2\end{array}\right])$

3 × $\left[\begin{array}{ccc}2 + 1&1 + 5\\3 + 2&2 - 2\end{array}\right]$ =

3 × $\left[\begin{array}{ccc}3&6\\5&0\end{array}\right]$ =  $\left[\begin{array}{ccc}9&18\\15&0\end{array}\right]$