Question

Construa a matriz: B = (bij) 3x3 tal que bij = 2i + 3j

Answer 1

$B= \left[\begin{array}{ccc}b_{11}&b_{12}&b_{13}\\b_{21}&b_{22}&b_{23}\\b_{31}&b_{32}&b_{33}\end{array}\right] = \left[\begin{array}{ccc}5&8&11\\7&10&13\\9&12&15\end{array}\right]$

$b_{ij}$ = 2i + 3j

$b_{11}$ = 2.1 + 3.1 = 5

$b_{12}$ = 2.1 + 3.2 = 8

$b_{13}$ = 2.1 + 3.3 = 11

$b_{21}$ = 2.2 + 3.1 = 7

$b_{22}$ = 2.2 + 3.2 = 10

$b_{23}$ = 2.2 + 3.3 = 13

$b_{31}$ = 2.3 + 3.1 = 9

$b_{32}$ = 2.3 + 3.2 = 12

$b_{33}$ = 2.3 + 3.3 = 15