Question

Determine a matriz A = aij 3x2 tal que aij=3i – 2j + 4​

Answer 1

✅ Após resolver os cálculos, concluímos que a matriz procurada é:

         $\Large\displaystyle\begin{gathered} A = \begin{vmatrix} 5 & 3\\8 & 6\\11 & 9\end{vmatrix} \end{gathered}$      

Portanto, a opção correta é:

      $\Large\displaystyle\text{ \begin{gathered}\boxed{\boxed{\:\:\:\bf Alternativa\:B\:\:\:}}\end{gathered} }$

Seja a lei de formação da matriz:

        $\Large\displaystyle\begin{gathered} A = \left[a_{ij}\right]_{3\times2}\:\:\textrm{tal que}\:a_{ij} = 3i - 2j + 4\end{gathered}$

Então, temos:

     $\Large\displaystyle\begin{gathered} A = \begin{vmatrix}a_{11} & a_{12}\\a_{21} & a_{22}\\a_{31} & a_{32} \end{vmatrix} \end{gathered}$

           $\Large\displaystyle\begin{gathered} = \begin{vmatrix} 3\cdot1 - 2\cdot1 + 4 & 3\cdot1 - 2\cdot2 + 4\\3\cdot2 - 2\cdot1 + 4 & 3\cdot2 - 2\cdot2 + 4\\3\cdot3 - 2\cdot1 + 4 & 3\cdot3 - 2\cdot2 + 4\end{vmatrix} \end{gathered}$

           $\Large\displaystyle\begin{gathered} = \begin{vmatrix} 3 - 2 + 4 & 3 - 4 + 4\\6 - 2 + 4 & 6 - 4 + 4\\9 - 2 + 4 & 9 - 4 + 4\end{vmatrix} \end{gathered}$

           $\Large\displaystyle\begin{gathered} = \begin{vmatrix} 5 & 3\\8 & 6\\11 & 9\end{vmatrix} \end{gathered}$

✅ Portanto, a matriz é:

      $\Large\displaystyle\begin{gathered} A = \begin{vmatrix} 5 & 3\\8 & 6\\11 & 9\end{vmatrix} \end{gathered}$

$\LARGE\displaystyle\text{ \begin{gathered} \underline{\boxed{\boldsymbol{\:\:\:Bons \:estudos!!\:\:\:Boa\: sorte!!\:\:\:}}}\end{gathered} }$

Saiba mais:

1. https://brainly.com.br/tarefa/51425345
2. https://brainly.com.br/tarefa/51436942
3. https://brainly.com.br/tarefa/51922601
4. https://brainly.com.br/tarefa/51922913
5. https://brainly.com.br/tarefa/52187916
6. https://brainly.com.br/tarefa/52218659
7. https://brainly.com.br/tarefa/52469980
8. https://brainly.com.br/tarefa/52509314
9. https://brainly.com.br/tarefa/52592739
10. https://brainly.com.br/tarefa/52704587
11. https://brainly.com.br/tarefa/53321895