Question

Construa uma matriz quadrada de ordem 3 x 3 A = (ij) sendo ij = i² + j²

Answer 1

Resposta:

ec svnegnegngenegnwhwbegnrgn

Answer 2

Resposta:

$A=\left[\begin{array}{ccc}2&5&10\\5&8&13\\10&13&18\end{array}\right]$

Explicação passo a passo:

$A_3_x_3=a_i_j=i^2+j^2\\\\\\A=\left[\begin{array}{ccc}a_1_1&a_1_2&a_1_3\\a_2_1&a_2_2&a_2_3\\a_3_1&a_3_2&a_3_3\end{array}\right] \\\\a_1_1=1^2+1^2=1+1=2\\\\a_1_2=1^2+2^2=1+4=5\\\\a_1_3=1^2+3^2=1+9=10\\\\a_2_1=2^2+1^2=4+1=5\\\\a_2_2=2^2+2^2=4+4=8\\\\a_2_3=2^2+3^2=4+9=13\\\\a_3_1=3^2+1^2=9+1=10\\\\a_3_2=3^2+2^2=9+4=13\\\\a_3_3=3^2+3^2=9+9=18\\\\\\A=\left[\begin{array}{ccc}2&5&10\\5&8&13\\10&13&18\end{array}\right]$