Question

matriz B=[big]4x3,tal que bij=(i-J)²

Answer 1

$\left[\begin{array}{ccc}a_{11}&a_{12}&a_{13}\\a_{21}&a_{22}&a_{23}\\a_{31}&a_{32}&a_{33}\\a_{41}&a_{42}&a_{43}\end{array}\right] \\ \\ \\ ---------- \\ \\ \\ a_{11} = (1-1)^{2} = 0 \\ a_{12} = (1-2)^{2} = 1 \\ a_{13} = (1-3)^{2} = 4 \\ a_{21} = (2-1)^{2} = 1 \\ a_{22} = (2-2)^{2} = 0 \\ a_{23} = (2-3)^{2} = 1 \\ a_{31} = (3-1)^{2} = 4 \\ a_{32} = (3-2)^{2} = 1 \\ a_{33} = (0-0)^{2} = 0 \\ a_{41} = (4-1)^{2} = 9 \\ a_{42} = (4-2)^{2} = 4 \\ a_{43} = (4-3)^{2} = 1$

Transpondo os valores pra nova matriz:

$\left[\begin{array}{ccc}0&1&4\\1&0&1\\4&1&0\\9&4&1\end{array}\right]$