Question

Escreva as matrizes:​

Answer 1

a)

$a_{11}=4.1-1=3\\a_{12}=4.1-2=2\\a_{13}=4.1-3=1$

$a_{21}=4.2-1=8-1=7\\a_{22}=4.2-2=6\\a_{23}=4.2-3=5$

$\mathsf{A=\begin{bmatrix}3&2&1\\7&6&5\end{bmatrix}}$

b)

$a_{11}={1}^{2}+1=2\\a_{12}={1}^{2}+2=3\\a_{13}={1}^{2}+3=4$

$a_{21}={2}^{2}+1=5\\a_{22}={2}^{2}+2=6\\a_{23}={2}^{2}+3=7$

$a_{31}={3}^{2}+1=10\\a_{32}={3}^{2}+2=11\\a_{33}={3}^{2}+3=12$

$\mathsf{B=\begin{bmatrix}2&3&4\\5&6&7\\10&11&12\end{bmatrix}}$

c) 3i²+2j

$a_{11}=3.{1}^{2}+2.1=3+2=5\\a_{12}=3.{1}^{2}+2.2=3+4=7\\a_{21}=3.{2}^{2}+2.1=14\\a_{22}=3.{2}^{2}+2.2=16$

$\mathsf{C=\begin{bmatrix}5&7\\14&16\end{bmatrix}}$

Deixo os demais como exercício pois são extremamente fáceis de fazer.