Question

Construa as seguintes matrizes
B= (bij)3x4 tal que bij= { i+j, SE i=j
2i-2j SE i‡j

Answer 1

$B=(b_{ij})_{3x4}$   tal que   $b_{ij}$ = i + j, se i = j

                                    $b_{ij}$ = 2i - 2j, se i ≠ j

$B=\left[\begin{array}{cccc}a_{11}&a_{12}&a_{13}&a_{14}\\a_{21}&a_{22}&a_{23}&a_{24}\\a_{31}&a_{32}&a_{33}&a_{34}\end{array}\right]$

$a_{11}=1+1=2\\\\a_{12}=2.1-2.2=2-4=-2\\\\a_{13}=2.1-2.3=2-6=-4\\\\a_{14}=2.1-2.4=2-8=-6\\\\a_{21}=2.2-2.1=4-2=2\\\\a_{22}=2+2=4\\\\a_{23}=2.2-2.3=4-6=-2\\\\a_{24}=2.2-2.4=4-8=-4\\\\a_{31}=2.3-2.1=6-2=4\\\\a_{32}=2.3-2.2=6-4=2\\\\a_{33}=3+3=6\\\\a_{34}=2.3-2.4=6-8=-2$

$B=\left[\begin{array}{cccc}2&-2&-4&-6\\2&4&-2&-4\\4&2&6&-2\end{array}\right]$