Question

Construa a matriz A=(Aij) 3×3 , em que Aij=i+2j.​

Answer 1

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

              $\Large\displaystyle\text{ \begin{gathered}\boxed{\boxed{\:\:\:\bf A = \begin{pmatrix} 3 & 5 & 7\\4 & 6 & 8\\5 & 7 & 9\end{pmatrix}\:\:\:}}\end{gathered} }$

Seja a matiz:

       $\Large\displaystyle\begin{gathered} A_{3\times3},\:\:\:tal\:que\:\:\: A_{ij} = i + 2j\end{gathered}$

Então, temos:

   $\Large\displaystyle\begin{gathered}A =\begin{pmatrix} 1 + 2\cdot1 &1 + 2\cdot2 & 1 + 2\cdot3\\2 + 2\cdot1 & 2 + 2\cdot2 & 2 + 2\cdot3\\3 + 2\cdot1 & 3 + 2\cdot2 & 3 + 2\cdot3\end{pmatrix}\end{gathered}$  

✅ Portanto, a matriz procurada é:

         $\Large\displaystyle\begin{gathered}A = \begin{pmatrix} 3 & 5 & 7\\4 & 6 & 8\\5 & 7 & 9\end{pmatrix}\end{gathered}$

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