Question

a=(aij)2×3 tal que aij=5i-j2

Answer 1

a=(aij)2×3 é uma matriz de 2 linhas (i) e 3 colunas (j).

Considerando que o "2" em "aij=5i-j2" seja um expoente, podemos monta a matriz da seguinte forma:

                                     $A~=~\left[\begin{array}{ccc}a_{_{11}}&a_{_{12}}&a_{_{13}}\\a_{_{21}}&a_{_{22}}&a_{_{23}}\end{array}\right] \\\\\\\\A~=~\left[\begin{array}{ccc}5~.~1~-~1^2~~&~~5~.~1~-~2^2~~&~~5~.~1~-~3^2\\5~.~2~-~1^2~~&~~5~.~2~-~2^2~~&~~5~.~2~-~3^2\end{array}\right]\\\\\\\\A~=~\left[\begin{array}{ccc}5-1~&5-4&~5-9\\10-1~&10-4&~10-9\end{array}\right]\\\\\\\\A~=~\left[\begin{array}{ccc}4~&1&~-4\\9~&6&~~~~~1\end{array}\right]$