Question

Quais os elementos da matriz A ₁x₃ tal que a ij = i⁷+ j²?

Answer 1

Queremos encontrar os elementos da matriz $\mathtt{A=(a_{ij})_{1\times 3}},$
 
cujos elementos satisfazem

$\mathtt{a_{ij}=i^7+j^2}\quad\quad\texttt{com }\mathtt{i=1~e~j=1,\,2,\,3.}$

(1 linha e 3 colunas)

________

$\mathtt{A}=\left[\begin{array}{ccc} \mathtt{a_{11}}&\mathtt{a_{12}}&\mathtt{a_{13}} \end{array}\right ]\\\\\\ \mathtt{A}=\left[\begin{array}{ccc} \mathtt{1^7+1^2}~&~\mathtt{1^7+2^2}~&~\mathtt{1^7+3^2} \end{array}\right ]\\\\\\ \mathtt{A}=\left[\begin{array}{ccc} \mathtt{1+1}~&~\mathtt{1+4}~&~\mathtt{1+9} \end{array}\right ]$


$\mathtt{A}=\left[\begin{array}{ccc} \mathtt{2}&\mathtt{5}&\mathtt{10} \end{array}\right ]$   <———    esta é a matriz procurada.


Dúvidas? Comente.


Bons estudos! :-)