Question

Considerando as matrizes 
A = (aij)2x3, com aij= i²+j² para todo aij
B = (bij)2x3, com bij = 3i para todo bij, 
determine: 
a) o elemento C22 da matriz C = A + B
b) o termo C igual a 3

Obrigada! :)

Answer 1

$A= \left[\begin{array}{ccc}a11&a12&a13\\a21&a22&a23\end{array}\right] \\ \\ A=\left[\begin{array}{ccc}1^2+1^2&1^2+2^2&1^2+3^2\\2^2+1^2&2^2+2^2&2^2+3^2\end{array}\right] \\ \\ A=\left[\begin{array}{ccc}2&5&10\\5&8&13\end{array}\right]$

$B= \left[\begin{array}{ccc}a11&a12&a13\\a21&a22&a23\end{array}\right] \\ \\ B=\left[\begin{array}{ccc}3*1&3*1&3*1\\3*2&3*2&3*2\end{array}\right] \\ \\ B=\left[\begin{array}{ccc}3&3&3\\6&6&6\end{array}\right]$

$C=A+B \\ \\ \left[\begin{array}{ccc}2&5&10\\5&8&13\end{array}\right] + \left[\begin{array}{ccc}3&3&3\\6&6&6\end{array}\right] = \left[\begin{array}{ccc}5&8&13\\11&14&19\end{array}\right]$

a) C22= 14  ( Elemento da 2ª linha e 2ªcoluna
b) Não entendi . C=3????  Agora se for o termo C=13 a resposta será  C13