Question

determine a matriz a=(aij)3x3 tal que aij=3i+2j

Answer 1

$A= \left[\begin{array}{ccc}5&7&9\\8&10&12\\11&13&15\end{array}\right]$

Answer 2

MATRIZES

Elemento de construção de uma matriz

Pela matriz genérica, temos que:

$\left[\begin{array}{ccc}a _{11} &a _{12} &a _{13} \\a _{21} &a _{22} &a _{23} \\a _{31} &a _{32} &a _{33} \end{array}\right]$

Se aij=3i+2j, vem:

$\left[\begin{array}{ccc}3*1+2*1&3*1+2*2&3*1+2*3\\3*2+2*1&3*2+2*2&3*2+2*3\\3*3+2*1&3*3+2*2&3*3+2*3\end{array}\right]$

Montando a matriz:

$a= \left[\begin{array}{ccc}5&7&9\\8&10&12\\11&13&15\end{array}\right]$