Question

Poderia me ajudar com esta questão de matrix?

Answer 1

$A=\left( \begin{array}{ccc} 3&-2&1\\ 2&3&4\\ 1&0&-1 \end{array} \right ),\;\;\; B=\left( \begin{array}{ccc} 0&-2&-4\\ 1&0&4\\ -1&0&2 \end{array} \right )$


$M=2\left(A+B \right )\\ \\ M=2\cdot \left( \begin{array}{ccc} 3+0\;&\;-2-2\;&\;1-4\\ 2+1\;&\;3+0\;&\;4+4\\ 1-1\;&\;0+0\;&\;-1+2 \end{array} \right )\\ \\ \\ M=2\cdot \left( \begin{array}{ccc} 3&-4&-3\\ 3&3&8\\ 0&0&1 \end{array} \right )\\ \\ \\ M=\left( \begin{array}{ccc} 6&-8&-6\\ 6&6&16\\ 0&0&2 \end{array} \right )$


Resposta: alternativa a.