Question

Escreva a matriz A=(Aij) , com 1 ≤ i ≤ 3 e 1 ≤ j ≤ 3, tal que aij = 2i +3j -3

Answer 1

Se i e j variam de 1 a 3, trata-se uma matriz de ordem 3
$\left[\begin{array}{ccc} a_{11} & a_{12} & a_{13} \\ a_{21} & a_{22} & a_{23} \\ a_{31} & a_{32} & a_{33} \end{array}\right] = \left[\begin{array}{ccc}2&5&8\\4&7&10\\6&9&12\end{array}\right] \\ \\ a_{11} =2.1+3.1-3=2 \\ a_{12} =2.1+3.2-3 = 5 \\ a_{13} =2.1+3.3-3 = 8 \\ a_{21} = 2.2+3.1-3 = 4 \\ . .................................... \\ ..................................... \\ .....................................$