Question

4. Determine a matriz A=[aij]3x3 cuja lei de formação é aij=i+j​

Answer 1

Matriz:

• 3x3:

$\large \sf\begin{pmatrix}\large \sf \: a_{11}&\large \sf \: a_{12}&\large \sf \: a_{13}\\\large \sf \: a_{21}&\large \sf \: a_{22}&\large \sf \: a_{23}\\\large \sf \: a_{31}&\large \sf \: a_{32}&\large \sf \: a_{33}\end{pmatrix}$

• Lei de Formação: aij = i+j

➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖

➡️ Cálculo:

$\large \sf\begin{pmatrix}\large \sf \: 1 + 1&\large \sf \: 1 + 2&\large\sf\: 1 + 3\\\large \sf \: 2 + 1&\large \sf \: 2 +2&\large \sf \: 2 + 3\\\large \sf \: 3+1&\large \sf \: 3 + 2&\large\sf \:3+3\end{pmatrix} \\ \\\large \sf\begin{pmatrix}\large \sf 2&\large \sf 3&\large \sf 4\\\large \sf 3&\large \sf 4&\large \sf 5\\\large \sf 4&\large \sf 5&\large \sf 6\end{pmatrix}$

➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖

◼️Resposta:

$\large \sf\begin{pmatrix}\large \sf 2&\large \sf 3&\large \sf 4\\\large \sf 3&\large \sf 4&\large \sf 5\\\large \sf 4&\large \sf 5&\large \sf 6\end{pmatrix}$