Question

Obtenha a matriz
$a = ( ay ) \: 3 \times 3 {}^{f}$

Sabendo que
$ay = 3i - {j}^{2}$


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Answer 1

$\Large\boxed{\begin{array}{l}\rm Obtenha\,a\,matriz\,A=(a_{ij})_{3\times3}\,sabendo\\\rm que\,a_{ij}=3i-j^2.\\\underline{\bf Soluc_{\!\!,}\tilde ao\!:}\\\sf a_{11}=3\cdot1-1^2=3-1=2\\\sf a_{12}=3\cdot1-2^2=3-4=-1\\\sf a_{13}=3\cdot1-3^2=3-9=-6\\\sf a_{21}=3\cdot2-1^2=6-1=5\\\sf a_{22}=3\cdot2-2^2=6-4=2\\\sf a_{23}=3\cdot2-3^2=6-9=-3\\\sf a_{31}=3\cdot3-1^2=9-1=8\\\sf a_{32}=3\cdot3-2^2=9-4=5\\\sf a_{33}=3\cdot3-3^2=9-9=0\end{array}}$

$\Large\boxed{\begin{array}{l}\sf A=\begin{bmatrix}\sf2&\sf-1&\sf6\\\sf5&\sf2&\sf-3\\\sf8&\sf5&\sf0\end{bmatrix}\end{array}}$