Question

1 - Construa a matriz A = (aij) 2x2, tal que a = 2i+J

2 - Construa a matriz A = (aij) 3x3, tal que aij = 4i - 2j​

Answer 1

Explicação passo a passo:

1-

$a_{11}=2(1)+(1)=3\\ a_{12}=2(1)+(2)=4\\a_{21}=2(2)+(1)=5\\a_{22}=2(2)+(2)=6$

$\left[\begin{array}{cc}3&4\\5&6\end{array}\right]$

2-

$a_{11}=4(1)-2(1)=2\\a_{12}=4(1)-2(2)=0\\a_{13}=4(1)-2(3)=-2\\\\a_{21}=4(2)-2(1)=6\\a_{22}=4(2)-2(2)=4\\a_{23}=4(2)-2(3)=2\\\\a_{31}=4(3)-2(1)=10\\a_{32}=4(3)-2(2)=8\\a_{33}=4(3)-2(3)=6$

$\left[\begin{array}{ccc}2&0&-2\\6&4&2\\10&8&6\end{array}\right]$