Question

construa uma matriz: B) b=(ij)3×2 ,onde bij = -i-j.​

Answer 1

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

              $\Large\displaystyle\text{ \begin{gathered}\boxed{\boxed{\:\:\:\bf B = \begin{bmatrix}-2 & -3\\-3 & -4\\ -4 & -5\end{bmatrix}\:\:\:}}\end{gathered} }$

Seja a lei de formação da matriz:

  $\Large\displaystyle\begin{gathered} B_{3\times2} = b(ij),\:\:\:\textrm{Onde}\,b(ij) = -i - j\end{gathered}$

Então temos:

   $\Large\displaystyle\begin{gathered}B = \begin{bmatrix}-1 - 1 & -1 - 2\\-2 - 1 & -2 - 2\\-3 - 1 & -3 - 2 \end{bmatrix}\end{gathered}$

         $\Large\displaystyle\begin{gathered} = \begin{bmatrix} -2 & -3\\-3 & -4\\-4 & -5\end{bmatrix}\end{gathered}$

✅ Portanto, a matriz procurada é:

     $\Large\displaystyle\begin{gathered} B = \begin{bmatrix} -2 & -3\\-3 & -4\\-4 & -5\end{bmatrix}\end{gathered}$

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