Question

7- sejam as matrizes​

Answer 1

Resposta:

a) Você deve multiplicar o escalar 3 por todos os elementos da matriz:

$3.\left[\begin{array}{cc}3&6\\1&2\end{array}\right] = \left[\begin{array}{cc}3.3&3.6\\3.1&3.2\end{array}\right] =\left[\begin{array}{cc}9&18\\3&6\end{array}\right]$

b) De maneira análoga ao item anterior, fazemos:

$2.\left[\begin{array}{cc}0&1\\1&0\end{array}\right] =\left[\begin{array}{cc}2.0&2.1\\2.1&2.0\end{array}\right] =\left[\begin{array}{cc}0&2\\2&0\end{array}\right]$

c) Já nesse caso, devemos somar cada elemento da matriz A com os elementos correspondentes na matriz B:

$\left[\begin{array}{cc}3&6\\1&2\end{array}\right] + \left[\begin{array}{cc}0&1\\1&0\end{array}\right] =\left[\begin{array}{cc}3+0&6+1\\1+1&2+0\end{array}\right] =\left[\begin{array}{cc}3&7\\2&2\end{array}\right]$