Question

matriz tá, é porque não consigo colocar as chaves, mas é tudo matriz.
sendo A= -2 2 e B= 5 -1 a matriz X tal que 3X-2A = B é:
               -3 3         3 4 
a)1      1/3
   10/3   -1 

b) 1/3    1
    -1     10/3

c) 1/3    -1
    1      10/3 

d) 10/3   1
   -1      1/3

e) -1     1
   1/3   10/3

ajudaaaa pf ??

Answer 1

Primeiramente

3X-2A=B
3X=B+2A
$X= \frac{B+2A}{3}$

Fazendo
B+2A
$\left[\begin{array}{cc}5&-1\\3&4\end{array}\right]+2\left[\begin{array}{cc}-2&2\\-3&3\end{array}\right]\\\\\\ \left[\begin{array}{cc}5&-1\\3&4\end{array}\right]+\left[\begin{array}{cc}-4&4\\-6&6\end{array}\right]\\\\\ \left[\begin{array}{cc}1&3\\-3&10\end{array}\right]$

$X=\frac{\left[\begin{array}{cc}1&3\\-3&10\end{array}\right]\\\\}{3}\\\\ x=\left[\begin{array}{cc}\frac{1}{3}&1\\-1&\frac{10}{3}\end{array}\right]$

Letra B